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Finding the Fourth Proportional to 937.31, 1,293.49 and 517.68

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Solution

The fourth proportional to 937.31, 1,293.49 and 517.68 is: 714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.31 : 1,293.49 = 517.68 : x
  2. Step 2: Convert to fraction form
    937.31/1,293.49 = 517.68/x
  3. Step 3: Cross multiply
    937.31x = 1,293.49 × 517.68
  4. Step 4: Simplify right side
    937.31x = 669,613.90
  5. Step 5: Solve for x
    x = 669,613.90/937.31
  6. Step 6: Final answer
    x = 714.40

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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.