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Finding the Fourth Proportional to 778.29, 1,161.73 and 686.03

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Solution

The fourth proportional to 778.29, 1,161.73 and 686.03 is: 1,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.29 : 1,161.73 = 686.03 : x
  2. Step 2: Convert to fraction form
    778.29/1,161.73 = 686.03/x
  3. Step 3: Cross multiply
    778.29x = 1,161.73 × 686.03
  4. Step 4: Simplify right side
    778.29x = 796,977.54
  5. Step 5: Solve for x
    x = 796,977.54/778.29
  6. Step 6: Final answer
    x = 1,024.02

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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.