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Finding the Fourth Proportional to 769.32, 1,147.98 and 686.49

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Solution

The fourth proportional to 769.32, 1,147.98 and 686.49 is: 1,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.32 : 1,147.98 = 686.49 : x
  2. Step 2: Convert to fraction form
    769.32/1,147.98 = 686.49/x
  3. Step 3: Cross multiply
    769.32x = 1,147.98 × 686.49
  4. Step 4: Simplify right side
    769.32x = 788,077.32
  5. Step 5: Solve for x
    x = 788,077.32/769.32
  6. Step 6: Final answer
    x = 1,024.38

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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.