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Finding the Fourth Proportional to 543.12, 814.52 and 311.97

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Solution

The fourth proportional to 543.12, 814.52 and 311.97 is: 467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 814.52 = 311.97 : x
  2. Step 2: Convert to fraction form
    543.12/814.52 = 311.97/x
  3. Step 3: Cross multiply
    543.12x = 814.52 × 311.97
  4. Step 4: Simplify right side
    543.12x = 254,105.80
  5. Step 5: Solve for x
    x = 254,105.80/543.12
  6. Step 6: Final answer
    x = 467.86

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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.