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Finding the Fourth Proportional to 475.53, 708.42 and 458.11

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Solution

The fourth proportional to 475.53, 708.42 and 458.11 is: 682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.53 : 708.42 = 458.11 : x
  2. Step 2: Convert to fraction form
    475.53/708.42 = 458.11/x
  3. Step 3: Cross multiply
    475.53x = 708.42 × 458.11
  4. Step 4: Simplify right side
    475.53x = 324,534.29
  5. Step 5: Solve for x
    x = 324,534.29/475.53
  6. Step 6: Final answer
    x = 682.47

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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.