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Finding the Fourth Proportional to 537.14, 799.92 and 518.91

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Solution

The fourth proportional to 537.14, 799.92 and 518.91 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 799.92 = 518.91 : x
  2. Step 2: Convert to fraction form
    537.14/799.92 = 518.91/x
  3. Step 3: Cross multiply
    537.14x = 799.92 × 518.91
  4. Step 4: Simplify right side
    537.14x = 415,086.49
  5. Step 5: Solve for x
    x = 415,086.49/537.14
  6. Step 6: Final answer
    x = 772.78

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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.