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Finding the Fourth Proportional to 801.17, 1,201.52 and 281.08

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Solution

The fourth proportional to 801.17, 1,201.52 and 281.08 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.17 : 1,201.52 = 281.08 : x
  2. Step 2: Convert to fraction form
    801.17/1,201.52 = 281.08/x
  3. Step 3: Cross multiply
    801.17x = 1,201.52 × 281.08
  4. Step 4: Simplify right side
    801.17x = 337,723.24
  5. Step 5: Solve for x
    x = 337,723.24/801.17
  6. Step 6: Final answer
    x = 421.54

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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.