While Ram may have actually existed, the other events related to his life may well have been created over the centuries to give him a godly status... he never was a god... just a mere human... read the Puranas and u will read that Ram himself acknowledges it that he is a mere human and a sinner...
Now think about this: when Hanuman was small he could swallow the sun.... So just imagine how big Haniman was if he could swallow the sun.. (The sun is 13,00,000 times bigger than the earth)... Such a huge person could have easily carried the entire army including Ram from the Indian coast to the Lankan coast... There was practically no need to build the bridge