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Finding the Fourth Proportional to 821.95, 1,233.20 and 274.30

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Solution

The fourth proportional to 821.95, 1,233.20 and 274.30 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.95 : 1,233.20 = 274.30 : x
  2. Step 2: Convert to fraction form
    821.95/1,233.20 = 274.30/x
  3. Step 3: Cross multiply
    821.95x = 1,233.20 × 274.30
  4. Step 4: Simplify right side
    821.95x = 338,264.36
  5. Step 5: Solve for x
    x = 338,264.36/821.95
  6. Step 6: Final answer
    x = 411.54

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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.