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Finding the Fourth Proportional to 725.18, 1,085.22 and 520.17

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Solution

The fourth proportional to 725.18, 1,085.22 and 520.17 is: 778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.18 : 1,085.22 = 520.17 : x
  2. Step 2: Convert to fraction form
    725.18/1,085.22 = 520.17/x
  3. Step 3: Cross multiply
    725.18x = 1,085.22 × 520.17
  4. Step 4: Simplify right side
    725.18x = 564,498.89
  5. Step 5: Solve for x
    x = 564,498.89/725.18
  6. Step 6: Final answer
    x = 778.43

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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.