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Finding the Fourth Proportional to 548.73, 823.10 and 274.55

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Solution

The fourth proportional to 548.73, 823.10 and 274.55 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.73 : 823.10 = 274.55 : x
  2. Step 2: Convert to fraction form
    548.73/823.10 = 274.55/x
  3. Step 3: Cross multiply
    548.73x = 823.10 × 274.55
  4. Step 4: Simplify right side
    548.73x = 225,976.62
  5. Step 5: Solve for x
    x = 225,976.62/548.73
  6. Step 6: Final answer
    x = 411.82

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.