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Finding the Fourth Proportional to 769.72, 1,151.76 and 728.02

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Solution

The fourth proportional to 769.72, 1,151.76 and 728.02 is: 1,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.72 : 1,151.76 = 728.02 : x
  2. Step 2: Convert to fraction form
    769.72/1,151.76 = 728.02/x
  3. Step 3: Cross multiply
    769.72x = 1,151.76 × 728.02
  4. Step 4: Simplify right side
    769.72x = 838,504.32
  5. Step 5: Solve for x
    x = 838,504.32/769.72
  6. Step 6: Final answer
    x = 1,089.36

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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.