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Finding the Fourth Proportional to 1,174.88, 1,761.20 and 481.12

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Solution

The fourth proportional to 1,174.88, 1,761.20 and 481.12 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.88 : 1,761.20 = 481.12 : x
  2. Step 2: Convert to fraction form
    1,174.88/1,761.20 = 481.12/x
  3. Step 3: Cross multiply
    1,174.88x = 1,761.20 × 481.12
  4. Step 4: Simplify right side
    1,174.88x = 847,348.54
  5. Step 5: Solve for x
    x = 847,348.54/1,174.88
  6. Step 6: Final answer
    x = 721.22

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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.