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Finding the Fourth Proportional to 548.49, 823.82 and 485.85

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Solution

The fourth proportional to 548.49, 823.82 and 485.85 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.49 : 823.82 = 485.85 : x
  2. Step 2: Convert to fraction form
    548.49/823.82 = 485.85/x
  3. Step 3: Cross multiply
    548.49x = 823.82 × 485.85
  4. Step 4: Simplify right side
    548.49x = 400,250.52
  5. Step 5: Solve for x
    x = 400,250.52/548.49
  6. Step 6: Final answer
    x = 729.73

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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.