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Finding the Fourth Proportional to 680.27, 1,023.50 and 406.57

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Solution

The fourth proportional to 680.27, 1,023.50 and 406.57 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 1,023.50 = 406.57 : x
  2. Step 2: Convert to fraction form
    680.27/1,023.50 = 406.57/x
  3. Step 3: Cross multiply
    680.27x = 1,023.50 × 406.57
  4. Step 4: Simplify right side
    680.27x = 416,122.85
  5. Step 5: Solve for x
    x = 416,122.85/680.27
  6. Step 6: Final answer
    x = 611.70

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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.