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Finding the Fourth Proportional to 668.79, 1,002.11 and 411.75

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Solution

The fourth proportional to 668.79, 1,002.11 and 411.75 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 1,002.11 = 411.75 : x
  2. Step 2: Convert to fraction form
    668.79/1,002.11 = 411.75/x
  3. Step 3: Cross multiply
    668.79x = 1,002.11 × 411.75
  4. Step 4: Simplify right side
    668.79x = 412,616.73
  5. Step 5: Solve for x
    x = 412,616.73/668.79
  6. Step 6: Final answer
    x = 616.96

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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.