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Finding the Fourth Proportional to 549.31, 825.86 and 441.85

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Solution

The fourth proportional to 549.31, 825.86 and 441.85 is: 664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.31 : 825.86 = 441.85 : x
  2. Step 2: Convert to fraction form
    549.31/825.86 = 441.85/x
  3. Step 3: Cross multiply
    549.31x = 825.86 × 441.85
  4. Step 4: Simplify right side
    549.31x = 364,906.24
  5. Step 5: Solve for x
    x = 364,906.24/549.31
  6. Step 6: Final answer
    x = 664.30

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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.