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Finding the Fourth Proportional to 682.38, 1,023.09 and 219.90

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Solution

The fourth proportional to 682.38, 1,023.09 and 219.90 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,023.09 = 219.90 : x
  2. Step 2: Convert to fraction form
    682.38/1,023.09 = 219.90/x
  3. Step 3: Cross multiply
    682.38x = 1,023.09 × 219.90
  4. Step 4: Simplify right side
    682.38x = 224,977.49
  5. Step 5: Solve for x
    x = 224,977.49/682.38
  6. Step 6: Final answer
    x = 329.70

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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.