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Finding the Fourth Proportional to 549.79, 823.82 and 275.50

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Solution

The fourth proportional to 549.79, 823.82 and 275.50 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.79 : 823.82 = 275.50 : x
  2. Step 2: Convert to fraction form
    549.79/823.82 = 275.50/x
  3. Step 3: Cross multiply
    549.79x = 823.82 × 275.50
  4. Step 4: Simplify right side
    549.79x = 226,963.61
  5. Step 5: Solve for x
    x = 226,963.61/549.79
  6. Step 6: Final answer
    x = 412.82

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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.