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Finding the Fourth Proportional to 932.27, 1,286.51 and 512.61

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Solution

The fourth proportional to 932.27, 1,286.51 and 512.61 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.27 : 1,286.51 = 512.61 : x
  2. Step 2: Convert to fraction form
    932.27/1,286.51 = 512.61/x
  3. Step 3: Cross multiply
    932.27x = 1,286.51 × 512.61
  4. Step 4: Simplify right side
    932.27x = 659,475.33
  5. Step 5: Solve for x
    x = 659,475.33/932.27
  6. Step 6: Final answer
    x = 707.39

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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.