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Finding the Fourth Proportional to 932.24, 1,286.08 and 538.99

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Solution

The fourth proportional to 932.24, 1,286.08 and 538.99 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.24 : 1,286.08 = 538.99 : x
  2. Step 2: Convert to fraction form
    932.24/1,286.08 = 538.99/x
  3. Step 3: Cross multiply
    932.24x = 1,286.08 × 538.99
  4. Step 4: Simplify right side
    932.24x = 693,179.70
  5. Step 5: Solve for x
    x = 693,179.70/932.24
  6. Step 6: Final answer
    x = 743.56

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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.