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Finding the Fourth Proportional to 575.12, 862.04 and 331.44

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Solution

The fourth proportional to 575.12, 862.04 and 331.44 is: 496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.12 : 862.04 = 331.44 : x
  2. Step 2: Convert to fraction form
    575.12/862.04 = 331.44/x
  3. Step 3: Cross multiply
    575.12x = 862.04 × 331.44
  4. Step 4: Simplify right side
    575.12x = 285,714.54
  5. Step 5: Solve for x
    x = 285,714.54/575.12
  6. Step 6: Final answer
    x = 496.79

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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.