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Finding the Fourth Proportional to 761.80, 1,135.13 and 726.92

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Solution

The fourth proportional to 761.80, 1,135.13 and 726.92 is: 1,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.80 : 1,135.13 = 726.92 : x
  2. Step 2: Convert to fraction form
    761.80/1,135.13 = 726.92/x
  3. Step 3: Cross multiply
    761.80x = 1,135.13 × 726.92
  4. Step 4: Simplify right side
    761.80x = 825,148.70
  5. Step 5: Solve for x
    x = 825,148.70/761.80
  6. Step 6: Final answer
    x = 1,083.16

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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.