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Finding the Fourth Proportional to 736.62, 1,023.66 and 727.44

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Solution

The fourth proportional to 736.62, 1,023.66 and 727.44 is: 1,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.62 : 1,023.66 = 727.44 : x
  2. Step 2: Convert to fraction form
    736.62/1,023.66 = 727.44/x
  3. Step 3: Cross multiply
    736.62x = 1,023.66 × 727.44
  4. Step 4: Simplify right side
    736.62x = 744,651.23
  5. Step 5: Solve for x
    x = 744,651.23/736.62
  6. Step 6: Final answer
    x = 1,010.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.