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Finding the Fourth Proportional to 548.57, 821.80 and 329.37

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Solution

The fourth proportional to 548.57, 821.80 and 329.37 is: 493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 821.80 = 329.37 : x
  2. Step 2: Convert to fraction form
    548.57/821.80 = 329.37/x
  3. Step 3: Cross multiply
    548.57x = 821.80 × 329.37
  4. Step 4: Simplify right side
    548.57x = 270,672.16
  5. Step 5: Solve for x
    x = 270,672.16/548.57
  6. Step 6: Final answer
    x = 493.42

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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.