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Finding the Fourth Proportional to 549.22, 819.99 and 545.38

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Solution

The fourth proportional to 549.22, 819.99 and 545.38 is: 814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.22 : 819.99 = 545.38 : x
  2. Step 2: Convert to fraction form
    549.22/819.99 = 545.38/x
  3. Step 3: Cross multiply
    549.22x = 819.99 × 545.38
  4. Step 4: Simplify right side
    549.22x = 447,206.15
  5. Step 5: Solve for x
    x = 447,206.15/549.22
  6. Step 6: Final answer
    x = 814.26

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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.