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Finding the Fourth Proportional to 723.25, 1,083.78 and 311.80

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Solution

The fourth proportional to 723.25, 1,083.78 and 311.80 is: 467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.25 : 1,083.78 = 311.80 : x
  2. Step 2: Convert to fraction form
    723.25/1,083.78 = 311.80/x
  3. Step 3: Cross multiply
    723.25x = 1,083.78 × 311.80
  4. Step 4: Simplify right side
    723.25x = 337,922.60
  5. Step 5: Solve for x
    x = 337,922.60/723.25
  6. Step 6: Final answer
    x = 467.23

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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.