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Finding the Fourth Proportional to 548.97, 823.26 and 461.91

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Solution

The fourth proportional to 548.97, 823.26 and 461.91 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.97 : 823.26 = 461.91 : x
  2. Step 2: Convert to fraction form
    548.97/823.26 = 461.91/x
  3. Step 3: Cross multiply
    548.97x = 823.26 × 461.91
  4. Step 4: Simplify right side
    548.97x = 380,272.03
  5. Step 5: Solve for x
    x = 380,272.03/548.97
  6. Step 6: Final answer
    x = 692.70

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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.