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Finding the Fourth Proportional to 548.10, 821.16 and 461.97

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Solution

The fourth proportional to 548.10, 821.16 and 461.97 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 821.16 = 461.97 : x
  2. Step 2: Convert to fraction form
    548.10/821.16 = 461.97/x
  3. Step 3: Cross multiply
    548.10x = 821.16 × 461.97
  4. Step 4: Simplify right side
    548.10x = 379,351.29
  5. Step 5: Solve for x
    x = 379,351.29/548.10
  6. Step 6: Final answer
    x = 692.12

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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.