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Finding the Fourth Proportional to 680.87, 1,021.92 and 475.61

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Solution

The fourth proportional to 680.87, 1,021.92 and 475.61 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.87 : 1,021.92 = 475.61 : x
  2. Step 2: Convert to fraction form
    680.87/1,021.92 = 475.61/x
  3. Step 3: Cross multiply
    680.87x = 1,021.92 × 475.61
  4. Step 4: Simplify right side
    680.87x = 486,028.48
  5. Step 5: Solve for x
    x = 486,028.48/680.87
  6. Step 6: Final answer
    x = 713.83

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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.