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Finding the Fourth Proportional to 932, 1,286.12 and 539.04

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Solution

The fourth proportional to 932, 1,286.12 and 539.04 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    932 : 1,286.12 = 539.04 : x
  2. Step 2: Convert to fraction form
    932/1,286.12 = 539.04/x
  3. Step 3: Cross multiply
    932x = 1,286.12 × 539.04
  4. Step 4: Simplify right side
    932x = 693,270.12
  5. Step 5: Solve for x
    x = 693,270.12/932
  6. Step 6: Final answer
    x = 743.85

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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.