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Finding the Fourth Proportional to 682.12, 1,023.32 and 219.78

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Solution

The fourth proportional to 682.12, 1,023.32 and 219.78 is: 329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.12 : 1,023.32 = 219.78 : x
  2. Step 2: Convert to fraction form
    682.12/1,023.32 = 219.78/x
  3. Step 3: Cross multiply
    682.12x = 1,023.32 × 219.78
  4. Step 4: Simplify right side
    682.12x = 224,905.27
  5. Step 5: Solve for x
    x = 224,905.27/682.12
  6. Step 6: Final answer
    x = 329.72

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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.