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Finding the Fourth Proportional to 775.97, 1,163.96 and 487.61

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Solution

The fourth proportional to 775.97, 1,163.96 and 487.61 is: 731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,163.96 = 487.61 : x
  2. Step 2: Convert to fraction form
    775.97/1,163.96 = 487.61/x
  3. Step 3: Cross multiply
    775.97x = 1,163.96 × 487.61
  4. Step 4: Simplify right side
    775.97x = 567,558.54
  5. Step 5: Solve for x
    x = 567,558.54/775.97
  6. Step 6: Final answer
    x = 731.42

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Double scale
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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.