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Finding the Fourth Proportional to 765.68, 1,053.96 and 726.80

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Solution

The fourth proportional to 765.68, 1,053.96 and 726.80 is: 1,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.68 : 1,053.96 = 726.80 : x
  2. Step 2: Convert to fraction form
    765.68/1,053.96 = 726.80/x
  3. Step 3: Cross multiply
    765.68x = 1,053.96 × 726.80
  4. Step 4: Simplify right side
    765.68x = 766,018.13
  5. Step 5: Solve for x
    x = 766,018.13/765.68
  6. Step 6: Final answer
    x = 1,000.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.