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Finding the Fourth Proportional to 548.50, 821.72 and 274.27

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Solution

The fourth proportional to 548.50, 821.72 and 274.27 is: 410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.50 : 821.72 = 274.27 : x
  2. Step 2: Convert to fraction form
    548.50/821.72 = 274.27/x
  3. Step 3: Cross multiply
    548.50x = 821.72 × 274.27
  4. Step 4: Simplify right side
    548.50x = 225,373.14
  5. Step 5: Solve for x
    x = 225,373.14/548.50
  6. Step 6: Final answer
    x = 410.89

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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.