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Finding the Fourth Proportional to 548.92, 818.69 and 540.46

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Solution

The fourth proportional to 548.92, 818.69 and 540.46 is: 806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 818.69 = 540.46 : x
  2. Step 2: Convert to fraction form
    548.92/818.69 = 540.46/x
  3. Step 3: Cross multiply
    548.92x = 818.69 × 540.46
  4. Step 4: Simplify right side
    548.92x = 442,469.20
  5. Step 5: Solve for x
    x = 442,469.20/548.92
  6. Step 6: Final answer
    x = 806.07

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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.