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Finding the Fourth Proportional to 491.72, 732.85 and 471.20

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Solution

The fourth proportional to 491.72, 732.85 and 471.20 is: 702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 732.85 = 471.20 : x
  2. Step 2: Convert to fraction form
    491.72/732.85 = 471.20/x
  3. Step 3: Cross multiply
    491.72x = 732.85 × 471.20
  4. Step 4: Simplify right side
    491.72x = 345,318.92
  5. Step 5: Solve for x
    x = 345,318.92/491.72
  6. Step 6: Final answer
    x = 702.27

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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.