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Finding the Fourth Proportional to 778.41, 1,161.92 and 686.15

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Solution

The fourth proportional to 778.41, 1,161.92 and 686.15 is: 1,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,161.92 = 686.15 : x
  2. Step 2: Convert to fraction form
    778.41/1,161.92 = 686.15/x
  3. Step 3: Cross multiply
    778.41x = 1,161.92 × 686.15
  4. Step 4: Simplify right side
    778.41x = 797,251.41
  5. Step 5: Solve for x
    x = 797,251.41/778.41
  6. Step 6: Final answer
    x = 1,024.20

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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.