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Finding the Fourth Proportional to 779.23, 1,163.14 and 686.97

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Solution

The fourth proportional to 779.23, 1,163.14 and 686.97 is: 1,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.23 : 1,163.14 = 686.97 : x
  2. Step 2: Convert to fraction form
    779.23/1,163.14 = 686.97/x
  3. Step 3: Cross multiply
    779.23x = 1,163.14 × 686.97
  4. Step 4: Simplify right side
    779.23x = 799,042.29
  5. Step 5: Solve for x
    x = 799,042.29/779.23
  6. Step 6: Final answer
    x = 1,025.43

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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.