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Finding the Fourth Proportional to 549.38, 819.22 and 544.44

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Solution

The fourth proportional to 549.38, 819.22 and 544.44 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 819.22 = 544.44 : x
  2. Step 2: Convert to fraction form
    549.38/819.22 = 544.44/x
  3. Step 3: Cross multiply
    549.38x = 819.22 × 544.44
  4. Step 4: Simplify right side
    549.38x = 446,016.14
  5. Step 5: Solve for x
    x = 446,016.14/549.38
  6. Step 6: Final answer
    x = 811.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.