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Finding the Fourth Proportional to 547.41, 818.67 and 540.73

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Solution

The fourth proportional to 547.41, 818.67 and 540.73 is: 808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.41 : 818.67 = 540.73 : x
  2. Step 2: Convert to fraction form
    547.41/818.67 = 540.73/x
  3. Step 3: Cross multiply
    547.41x = 818.67 × 540.73
  4. Step 4: Simplify right side
    547.41x = 442,679.43
  5. Step 5: Solve for x
    x = 442,679.43/547.41
  6. Step 6: Final answer
    x = 808.68

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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.