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Finding the Fourth Proportional to 775.38, 1,162.80 and 487.02

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Solution

The fourth proportional to 775.38, 1,162.80 and 487.02 is: 730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.38 : 1,162.80 = 487.02 : x
  2. Step 2: Convert to fraction form
    775.38/1,162.80 = 487.02/x
  3. Step 3: Cross multiply
    775.38x = 1,162.80 × 487.02
  4. Step 4: Simplify right side
    775.38x = 566,306.86
  5. Step 5: Solve for x
    x = 566,306.86/775.38
  6. Step 6: Final answer
    x = 730.36

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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.