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Finding the Fourth Proportional to 723.18, 1,084.67 and 311.97

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Solution

The fourth proportional to 723.18, 1,084.67 and 311.97 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 1,084.67 = 311.97 : x
  2. Step 2: Convert to fraction form
    723.18/1,084.67 = 311.97/x
  3. Step 3: Cross multiply
    723.18x = 1,084.67 × 311.97
  4. Step 4: Simplify right side
    723.18x = 338,389.93
  5. Step 5: Solve for x
    x = 338,389.93/723.18
  6. Step 6: Final answer
    x = 467.92

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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.