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Finding the Fourth Proportional to 475.12, 707.57 and 458.92

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Solution

The fourth proportional to 475.12, 707.57 and 458.92 is: 683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 707.57 = 458.92 : x
  2. Step 2: Convert to fraction form
    475.12/707.57 = 458.92/x
  3. Step 3: Cross multiply
    475.12x = 707.57 × 458.92
  4. Step 4: Simplify right side
    475.12x = 324,718.02
  5. Step 5: Solve for x
    x = 324,718.02/475.12
  6. Step 6: Final answer
    x = 683.44

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