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Finding the Fourth Proportional to 959.38, 1,439.71 and 472.43

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Solution

The fourth proportional to 959.38, 1,439.71 and 472.43 is: 708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.38 : 1,439.71 = 472.43 : x
  2. Step 2: Convert to fraction form
    959.38/1,439.71 = 472.43/x
  3. Step 3: Cross multiply
    959.38x = 1,439.71 × 472.43
  4. Step 4: Simplify right side
    959.38x = 680,164.61
  5. Step 5: Solve for x
    x = 680,164.61/959.38
  6. Step 6: Final answer
    x = 708.96

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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.