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Finding the Fourth Proportional to 682.32, 1,023.45 and 406.57

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Solution

The fourth proportional to 682.32, 1,023.45 and 406.57 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 1,023.45 = 406.57 : x
  2. Step 2: Convert to fraction form
    682.32/1,023.45 = 406.57/x
  3. Step 3: Cross multiply
    682.32x = 1,023.45 × 406.57
  4. Step 4: Simplify right side
    682.32x = 416,098.95
  5. Step 5: Solve for x
    x = 416,098.95/682.32
  6. Step 6: Final answer
    x = 609.83

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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.