For some reason the number four is the number of stability in many cultures. Did you know that 4% of the population (that's 1 in 25 people) have outties? That is belly buttons that protrude out. A four-leaf clover is thought to bring great luck. Having four leafs grow on clovers is a recessive genetic mutation and only occurs in 1 out of 10,000 clover. A little trivia for you there.
I'm think that significance of four might involve that the most stable structures consist of four points, in most cases.