Hi Bettyboop (my that name's a leap into the memory!)
There could be a myriad of reasons why one of your apple trees failed to blossom. Are the three apple trees of the same variety? And of the same pollination group? Are they planted in roughly the same area?
A fruit tree will normally begin to bear fruit after it has become old enough to blossom freely. Nevertheless, the health of the tree and its environment, its fruiting habits and the cultural practices used can influence its ability to produce fruit. Adequate pollination is also essential to fruit yield (although your question suggests that it did not flower, rather than flowered and failed to bear fruit). If just one of these conditions is unfavorable, yields may be reduced or the tree may not blossom or bear any fruit at all. You can exercise some control over most of the factors contributing to failed fruit production.
Another factor is the age of the tree. Nursery-grown fruit trees are usually from one to two years old. The length of time from planting to fruit bearing varies with the type (or variety) planted. Trees growing at a moderate rate generally bear fruit sooner than those grown either too quickly or too slowly. Dwarf fruit trees usually begin to bear one to three years sooner than standard-size trees.
Finally, there's the question of whether it is a biennial fruiting variety. Occasionally certain fruit trees, such as apples, bear heavily one year and sparsely or not at all the next. This is called biennial bearing. The buds of most hardy fruit trees are set during the previous summer, and an especially heavy crop one year may prevent adequate bud formation for the following year. Biennial bearing is difficult to alter or correct. However, this does not appear to apply to you as I assume it is the first year after planting that you have expected a crop?
My advice? Exercise patience and don't start panicking and looking for problems or solutions that may not be present or required. Give your tree a few seasons to see what happens.
Gardening or fruit growing is NOT for the impatient Bettyboop!