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Finding the Fourth Proportional to 638.62, 952.31 and 588.13

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Solution

The fourth proportional to 638.62, 952.31 and 588.13 is: 877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.62 : 952.31 = 588.13 : x
  2. Step 2: Convert to fraction form
    638.62/952.31 = 588.13/x
  3. Step 3: Cross multiply
    638.62x = 952.31 × 588.13
  4. Step 4: Simplify right side
    638.62x = 560,082.08
  5. Step 5: Solve for x
    x = 560,082.08/638.62
  6. Step 6: Final answer
    x = 877.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.