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Finding the Fourth Proportional to 769.16, 1,146.28 and 744.56

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Solution

The fourth proportional to 769.16, 1,146.28 and 744.56 is: 1,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.16 : 1,146.28 = 744.56 : x
  2. Step 2: Convert to fraction form
    769.16/1,146.28 = 744.56/x
  3. Step 3: Cross multiply
    769.16x = 1,146.28 × 744.56
  4. Step 4: Simplify right side
    769.16x = 853,474.24
  5. Step 5: Solve for x
    x = 853,474.24/769.16
  6. Step 6: Final answer
    x = 1,109.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.