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Finding the Fourth Proportional to 548.31, 823.16 and 545.82

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Solution

The fourth proportional to 548.31, 823.16 and 545.82 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.31 : 823.16 = 545.82 : x
  2. Step 2: Convert to fraction form
    548.31/823.16 = 545.82/x
  3. Step 3: Cross multiply
    548.31x = 823.16 × 545.82
  4. Step 4: Simplify right side
    548.31x = 449,294.46
  5. Step 5: Solve for x
    x = 449,294.46/548.31
  6. Step 6: Final answer
    x = 819.42

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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.