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Finding the Fourth Proportional to 544.82, 815.91 and 327.92

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Solution

The fourth proportional to 544.82, 815.91 and 327.92 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.82 : 815.91 = 327.92 : x
  2. Step 2: Convert to fraction form
    544.82/815.91 = 327.92/x
  3. Step 3: Cross multiply
    544.82x = 815.91 × 327.92
  4. Step 4: Simplify right side
    544.82x = 267,553.21
  5. Step 5: Solve for x
    x = 267,553.21/544.82
  6. Step 6: Final answer
    x = 491.09

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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.