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Finding the Fourth Proportional to 549.20, 822.94 and 274.71

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Solution

The fourth proportional to 549.20, 822.94 and 274.71 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.20 : 822.94 = 274.71 : x
  2. Step 2: Convert to fraction form
    549.20/822.94 = 274.71/x
  3. Step 3: Cross multiply
    549.20x = 822.94 × 274.71
  4. Step 4: Simplify right side
    549.20x = 226,069.85
  5. Step 5: Solve for x
    x = 226,069.85/549.20
  6. Step 6: Final answer
    x = 411.63

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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.