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Finding the Fourth Proportional to 932.07, 1,286.18 and 539.08

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Solution

The fourth proportional to 932.07, 1,286.18 and 539.08 is: 743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,286.18 = 539.08 : x
  2. Step 2: Convert to fraction form
    932.07/1,286.18 = 539.08/x
  3. Step 3: Cross multiply
    932.07x = 1,286.18 × 539.08
  4. Step 4: Simplify right side
    932.07x = 693,353.91
  5. Step 5: Solve for x
    x = 693,353.91/932.07
  6. Step 6: Final answer
    x = 743.89

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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.