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Finding the Fourth Proportional to 742, 1,115.52 and 580

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Solution

The fourth proportional to 742, 1,115.52 and 580 is: 871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 1,115.52 = 580 : x
  2. Step 2: Convert to fraction form
    742/1,115.52 = 580/x
  3. Step 3: Cross multiply
    742x = 1,115.52 × 580
  4. Step 4: Simplify right side
    742x = 647,001.60
  5. Step 5: Solve for x
    x = 647,001.60/742
  6. Step 6: Final answer
    x = 871.97

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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.