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Finding the Fourth Proportional to 880.92, 1,322.46 and 394.20

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Solution

The fourth proportional to 880.92, 1,322.46 and 394.20 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,322.46 = 394.20 : x
  2. Step 2: Convert to fraction form
    880.92/1,322.46 = 394.20/x
  3. Step 3: Cross multiply
    880.92x = 1,322.46 × 394.20
  4. Step 4: Simplify right side
    880.92x = 521,313.73
  5. Step 5: Solve for x
    x = 521,313.73/880.92
  6. Step 6: Final answer
    x = 591.78

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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.