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Finding the Fourth Proportional to 657.17, 906.05 and 538.71

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Solution

The fourth proportional to 657.17, 906.05 and 538.71 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.17 : 906.05 = 538.71 : x
  2. Step 2: Convert to fraction form
    657.17/906.05 = 538.71/x
  3. Step 3: Cross multiply
    657.17x = 906.05 × 538.71
  4. Step 4: Simplify right side
    657.17x = 488,098.20
  5. Step 5: Solve for x
    x = 488,098.20/657.17
  6. Step 6: Final answer
    x = 742.73

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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.