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Finding the Fourth Proportional to 821.76, 1,232.82 and 274.12

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Solution

The fourth proportional to 821.76, 1,232.82 and 274.12 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,232.82 = 274.12 : x
  2. Step 2: Convert to fraction form
    821.76/1,232.82 = 274.12/x
  3. Step 3: Cross multiply
    821.76x = 1,232.82 × 274.12
  4. Step 4: Simplify right side
    821.76x = 337,940.62
  5. Step 5: Solve for x
    x = 337,940.62/821.76
  6. Step 6: Final answer
    x = 411.24

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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.