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Finding the Fourth Proportional to 527.32, 731.02 and 494.20

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Solution

The fourth proportional to 527.32, 731.02 and 494.20 is: 685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 731.02 = 494.20 : x
  2. Step 2: Convert to fraction form
    527.32/731.02 = 494.20/x
  3. Step 3: Cross multiply
    527.32x = 731.02 × 494.20
  4. Step 4: Simplify right side
    527.32x = 361,270.08
  5. Step 5: Solve for x
    x = 361,270.08/527.32
  6. Step 6: Final answer
    x = 685.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.