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Finding the Fourth Proportional to 549.84, 824.40 and 275.56

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Solution

The fourth proportional to 549.84, 824.40 and 275.56 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 824.40 = 275.56 : x
  2. Step 2: Convert to fraction form
    549.84/824.40 = 275.56/x
  3. Step 3: Cross multiply
    549.84x = 824.40 × 275.56
  4. Step 4: Simplify right side
    549.84x = 227,171.66
  5. Step 5: Solve for x
    x = 227,171.66/549.84
  6. Step 6: Final answer
    x = 413.16

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Double scale
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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.