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Finding the Fourth Proportional to 775.28, 1,161.39 and 467.21

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Solution

The fourth proportional to 775.28, 1,161.39 and 467.21 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.28 : 1,161.39 = 467.21 : x
  2. Step 2: Convert to fraction form
    775.28/1,161.39 = 467.21/x
  3. Step 3: Cross multiply
    775.28x = 1,161.39 × 467.21
  4. Step 4: Simplify right side
    775.28x = 542,613.02
  5. Step 5: Solve for x
    x = 542,613.02/775.28
  6. Step 6: Final answer
    x = 699.89

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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.