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Finding the Fourth Proportional to 655.53, 905.09 and 459.31

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Solution

The fourth proportional to 655.53, 905.09 and 459.31 is: 634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.53 : 905.09 = 459.31 : x
  2. Step 2: Convert to fraction form
    655.53/905.09 = 459.31/x
  3. Step 3: Cross multiply
    655.53x = 905.09 × 459.31
  4. Step 4: Simplify right side
    655.53x = 415,716.89
  5. Step 5: Solve for x
    x = 415,716.89/655.53
  6. Step 6: Final answer
    x = 634.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.