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Finding the Fourth Proportional to 822.35, 1,233.39 and 274.55

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Solution

The fourth proportional to 822.35, 1,233.39 and 274.55 is: 411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,233.39 = 274.55 : x
  2. Step 2: Convert to fraction form
    822.35/1,233.39 = 274.55/x
  3. Step 3: Cross multiply
    822.35x = 1,233.39 × 274.55
  4. Step 4: Simplify right side
    822.35x = 338,627.22
  5. Step 5: Solve for x
    x = 338,627.22/822.35
  6. Step 6: Final answer
    x = 411.78

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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.