To find the height of the son, we need to calculate \( \frac{1}{4} \) of the father's height since the son is 14 as tall.
The father's height is 623 feet, so we calculate the height of the son:
\[ \text{Son's height} = \frac{623}{14} \approx 44.64 \text{ feet} \]
Therefore, the son is approximately 44.64 feet tall.