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Finding the Fourth Proportional to 769.73, 1,151.85 and 718.24

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Solution

The fourth proportional to 769.73, 1,151.85 and 718.24 is: 1,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.73 : 1,151.85 = 718.24 : x
  2. Step 2: Convert to fraction form
    769.73/1,151.85 = 718.24/x
  3. Step 3: Cross multiply
    769.73x = 1,151.85 × 718.24
  4. Step 4: Simplify right side
    769.73x = 827,304.74
  5. Step 5: Solve for x
    x = 827,304.74/769.73
  6. Step 6: Final answer
    x = 1,074.80

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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.