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Finding the Fourth Proportional to 931.38, 1,397.45 and 411.10

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Solution

The fourth proportional to 931.38, 1,397.45 and 411.10 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.38 : 1,397.45 = 411.10 : x
  2. Step 2: Convert to fraction form
    931.38/1,397.45 = 411.10/x
  3. Step 3: Cross multiply
    931.38x = 1,397.45 × 411.10
  4. Step 4: Simplify right side
    931.38x = 574,491.70
  5. Step 5: Solve for x
    x = 574,491.70/931.38
  6. Step 6: Final answer
    x = 616.82

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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.