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Finding the Fourth Proportional to 938.10, 1,407.14 and 417.97

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Solution

The fourth proportional to 938.10, 1,407.14 and 417.97 is: 626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.10 : 1,407.14 = 417.97 : x
  2. Step 2: Convert to fraction form
    938.10/1,407.14 = 417.97/x
  3. Step 3: Cross multiply
    938.10x = 1,407.14 × 417.97
  4. Step 4: Simplify right side
    938.10x = 588,142.31
  5. Step 5: Solve for x
    x = 588,142.31/938.10
  6. Step 6: Final answer
    x = 626.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.