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Finding the Fourth Proportional to 801.52, 1,201.20 and 512.44

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Solution

The fourth proportional to 801.52, 1,201.20 and 512.44 is: 767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.52 : 1,201.20 = 512.44 : x
  2. Step 2: Convert to fraction form
    801.52/1,201.20 = 512.44/x
  3. Step 3: Cross multiply
    801.52x = 1,201.20 × 512.44
  4. Step 4: Simplify right side
    801.52x = 615,542.93
  5. Step 5: Solve for x
    x = 615,542.93/801.52
  6. Step 6: Final answer
    x = 767.97

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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.