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Finding the Fourth Proportional to 546.82, 814.52 and 545.78

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Solution

The fourth proportional to 546.82, 814.52 and 545.78 is: 812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 814.52 = 545.78 : x
  2. Step 2: Convert to fraction form
    546.82/814.52 = 545.78/x
  3. Step 3: Cross multiply
    546.82x = 814.52 × 545.78
  4. Step 4: Simplify right side
    546.82x = 444,552.13
  5. Step 5: Solve for x
    x = 444,552.13/546.82
  6. Step 6: Final answer
    x = 812.98

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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.