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Finding the Fourth Proportional to 843.92, 1,165.14 and 529.61

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Solution

The fourth proportional to 843.92, 1,165.14 and 529.61 is: 731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.92 : 1,165.14 = 529.61 : x
  2. Step 2: Convert to fraction form
    843.92/1,165.14 = 529.61/x
  3. Step 3: Cross multiply
    843.92x = 1,165.14 × 529.61
  4. Step 4: Simplify right side
    843.92x = 617,063.97
  5. Step 5: Solve for x
    x = 617,063.97/843.92
  6. Step 6: Final answer
    x = 731.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.