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Finding the Fourth Proportional to 549.27, 757.31 and 461.09

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Solution

The fourth proportional to 549.27, 757.31 and 461.09 is: 635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 757.31 = 461.09 : x
  2. Step 2: Convert to fraction form
    549.27/757.31 = 461.09/x
  3. Step 3: Cross multiply
    549.27x = 757.31 × 461.09
  4. Step 4: Simplify right side
    549.27x = 349,187.66
  5. Step 5: Solve for x
    x = 349,187.66/549.27
  6. Step 6: Final answer
    x = 635.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.