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Finding the Fourth Proportional to 725.97, 1,086.39 and 684.39

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Solution

The fourth proportional to 725.97, 1,086.39 and 684.39 is: 1,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.97 : 1,086.39 = 684.39 : x
  2. Step 2: Convert to fraction form
    725.97/1,086.39 = 684.39/x
  3. Step 3: Cross multiply
    725.97x = 1,086.39 × 684.39
  4. Step 4: Simplify right side
    725.97x = 743,514.45
  5. Step 5: Solve for x
    x = 743,514.45/725.97
  6. Step 6: Final answer
    x = 1,024.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.