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Finding the Fourth Proportional to 682.62, 1,023.66 and 440.70

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Solution

The fourth proportional to 682.62, 1,023.66 and 440.70 is: 660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 1,023.66 = 440.70 : x
  2. Step 2: Convert to fraction form
    682.62/1,023.66 = 440.70/x
  3. Step 3: Cross multiply
    682.62x = 1,023.66 × 440.70
  4. Step 4: Simplify right side
    682.62x = 451,126.96
  5. Step 5: Solve for x
    x = 451,126.96/682.62
  6. Step 6: Final answer
    x = 660.88

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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.