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Finding the Fourth Proportional to 655.66, 905.97 and 525.70

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Solution

The fourth proportional to 655.66, 905.97 and 525.70 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.66 : 905.97 = 525.70 : x
  2. Step 2: Convert to fraction form
    655.66/905.97 = 525.70/x
  3. Step 3: Cross multiply
    655.66x = 905.97 × 525.70
  4. Step 4: Simplify right side
    655.66x = 476,268.43
  5. Step 5: Solve for x
    x = 476,268.43/655.66
  6. Step 6: Final answer
    x = 726.40

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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.