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Finding the Fourth Proportional to 821.93, 1,233.11 and 274.12

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Solution

The fourth proportional to 821.93, 1,233.11 and 274.12 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,233.11 = 274.12 : x
  2. Step 2: Convert to fraction form
    821.93/1,233.11 = 274.12/x
  3. Step 3: Cross multiply
    821.93x = 1,233.11 × 274.12
  4. Step 4: Simplify right side
    821.93x = 338,016.17
  5. Step 5: Solve for x
    x = 338,016.17/821.93
  6. Step 6: Final answer
    x = 411.25

Related Problems

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Half scale
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Double scale
Find fourth proportional to 822.93, 1,234.61 and 275.12
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.