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Finding the Fourth Proportional to 547.75, 821.02 and 274.07

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Solution

The fourth proportional to 547.75, 821.02 and 274.07 is: 410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.75 : 821.02 = 274.07 : x
  2. Step 2: Convert to fraction form
    547.75/821.02 = 274.07/x
  3. Step 3: Cross multiply
    547.75x = 821.02 × 274.07
  4. Step 4: Simplify right side
    547.75x = 225,016.95
  5. Step 5: Solve for x
    x = 225,016.95/547.75
  6. Step 6: Final answer
    x = 410.80

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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.