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Finding the Fourth Proportional to 549.05, 822.80 and 411.75

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Solution

The fourth proportional to 549.05, 822.80 and 411.75 is: 617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.05 : 822.80 = 411.75 : x
  2. Step 2: Convert to fraction form
    549.05/822.80 = 411.75/x
  3. Step 3: Cross multiply
    549.05x = 822.80 × 411.75
  4. Step 4: Simplify right side
    549.05x = 338,785.84
  5. Step 5: Solve for x
    x = 338,785.84/549.05
  6. Step 6: Final answer
    x = 617.05

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.