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Finding the Fourth Proportional to 821.67, 1,230.96 and 411.10

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Solution

The fourth proportional to 821.67, 1,230.96 and 411.10 is: 615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.67 : 1,230.96 = 411.10 : x
  2. Step 2: Convert to fraction form
    821.67/1,230.96 = 411.10/x
  3. Step 3: Cross multiply
    821.67x = 1,230.96 × 411.10
  4. Step 4: Simplify right side
    821.67x = 506,046.11
  5. Step 5: Solve for x
    x = 506,046.11/821.67
  6. Step 6: Final answer
    x = 615.88

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Half scale
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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.