I know Mass Ratio has nothing to do with thrust to weight ratio but a Missile needs to have minimum value of thrust to weight ratio as one.This has nothing to do with the thrust to weight ratio…
Just imagine if the weight of the engine is more than the thrust produced,then the rocket will not lift off which is the basic principle of rocket.
The ratio must be atleast one for the rocket to lift off.
The Missiles range also depends upon the duration of the thrust.
http://www.fas.org/man/dod-101/sys/missile/docs/RocketBasics.htm
Its clearly given above,no need to explain.In rocketry, the greater the amount of thrust developed by the rocket motor in relation to the mass of the total vehicle, the faster the missile will move through the air. If enough thrust is developed, the speed can be built up (usually in stages) until the vehicle can escape the pull of the Earth's gravity and move into outer space.
Specific impulse only depends upon the propellant that is the fuel.In case of a rocket engine, it is dependant on the fuel also. It is called specific impulse. The liquid propellants have a higher specific impulse than the solid propellants. Still both have their own advantages and disadvantages..
It is defined as ratio of thrust to the Amount of fuel consumed per second.
As u said it mostly depends uopn Fuel.
But weight to thrust ratio depends upon the whole weight of the Missile.