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Finding the Fourth Proportional to 475.20, 717.10 and 458.04

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Solution

The fourth proportional to 475.20, 717.10 and 458.04 is: 691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 717.10 = 458.04 : x
  2. Step 2: Convert to fraction form
    475.20/717.10 = 458.04/x
  3. Step 3: Cross multiply
    475.20x = 717.10 × 458.04
  4. Step 4: Simplify right side
    475.20x = 328,462.03
  5. Step 5: Solve for x
    x = 328,462.03/475.20
  6. Step 6: Final answer
    x = 691.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.