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Finding the Fourth Proportional to 822.35, 1,233.46 and 274.39

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Solution

The fourth proportional to 822.35, 1,233.46 and 274.39 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,233.46 = 274.39 : x
  2. Step 2: Convert to fraction form
    822.35/1,233.46 = 274.39/x
  3. Step 3: Cross multiply
    822.35x = 1,233.46 × 274.39
  4. Step 4: Simplify right side
    822.35x = 338,446.35
  5. Step 5: Solve for x
    x = 338,446.35/822.35
  6. Step 6: Final answer
    x = 411.56

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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.