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Finding the Fourth Proportional to 499.28, 743.74 and 471.92

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Solution

The fourth proportional to 499.28, 743.74 and 471.92 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.28 : 743.74 = 471.92 : x
  2. Step 2: Convert to fraction form
    499.28/743.74 = 471.92/x
  3. Step 3: Cross multiply
    499.28x = 743.74 × 471.92
  4. Step 4: Simplify right side
    499.28x = 350,985.78
  5. Step 5: Solve for x
    x = 350,985.78/499.28
  6. Step 6: Final answer
    x = 702.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.