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Finding the Fourth Proportional to 638.20, 952.25 and 592.30

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Solution

The fourth proportional to 638.20, 952.25 and 592.30 is: 883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.20 : 952.25 = 592.30 : x
  2. Step 2: Convert to fraction form
    638.20/952.25 = 592.30/x
  3. Step 3: Cross multiply
    638.20x = 952.25 × 592.30
  4. Step 4: Simplify right side
    638.20x = 564,017.68
  5. Step 5: Solve for x
    x = 564,017.68/638.20
  6. Step 6: Final answer
    x = 883.76

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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.