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Finding the Fourth Proportional to 548.04, 820.92 and 274.08

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Solution

The fourth proportional to 548.04, 820.92 and 274.08 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.04 : 820.92 = 274.08 : x
  2. Step 2: Convert to fraction form
    548.04/820.92 = 274.08/x
  3. Step 3: Cross multiply
    548.04x = 820.92 × 274.08
  4. Step 4: Simplify right side
    548.04x = 224,997.75
  5. Step 5: Solve for x
    x = 224,997.75/548.04
  6. Step 6: Final answer
    x = 410.55

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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.