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Finding the Fourth Proportional to 959.31, 1,439.10 and 472.37

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Solution

The fourth proportional to 959.31, 1,439.10 and 472.37 is: 708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.31 : 1,439.10 = 472.37 : x
  2. Step 2: Convert to fraction form
    959.31/1,439.10 = 472.37/x
  3. Step 3: Cross multiply
    959.31x = 1,439.10 × 472.37
  4. Step 4: Simplify right side
    959.31x = 679,780.47
  5. Step 5: Solve for x
    x = 679,780.47/959.31
  6. Step 6: Final answer
    x = 708.61

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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.