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Finding the Fourth Proportional to 821.91, 1,233.08 and 274.35

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Solution

The fourth proportional to 821.91, 1,233.08 and 274.35 is: 411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.91 : 1,233.08 = 274.35 : x
  2. Step 2: Convert to fraction form
    821.91/1,233.08 = 274.35/x
  3. Step 3: Cross multiply
    821.91x = 1,233.08 × 274.35
  4. Step 4: Simplify right side
    821.91x = 338,294.13
  5. Step 5: Solve for x
    x = 338,294.13/821.91
  6. Step 6: Final answer
    x = 411.60

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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.