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Finding the Fourth Proportional to 682.46, 1,023.96 and 408.68

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Solution

The fourth proportional to 682.46, 1,023.96 and 408.68 is: 613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 1,023.96 = 408.68 : x
  2. Step 2: Convert to fraction form
    682.46/1,023.96 = 408.68/x
  3. Step 3: Cross multiply
    682.46x = 1,023.96 × 408.68
  4. Step 4: Simplify right side
    682.46x = 418,471.97
  5. Step 5: Solve for x
    x = 418,471.97/682.46
  6. Step 6: Final answer
    x = 613.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.