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Finding the Fourth Proportional to 723.55, 1,085.34 and 519.85

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Solution

The fourth proportional to 723.55, 1,085.34 and 519.85 is: 779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.55 : 1,085.34 = 519.85 : x
  2. Step 2: Convert to fraction form
    723.55/1,085.34 = 519.85/x
  3. Step 3: Cross multiply
    723.55x = 1,085.34 × 519.85
  4. Step 4: Simplify right side
    723.55x = 564,211.40
  5. Step 5: Solve for x
    x = 564,211.40/723.55
  6. Step 6: Final answer
    x = 779.78

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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.