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Finding the Fourth Proportional to 881.96, 1,322.78 and 394.92

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Solution

The fourth proportional to 881.96, 1,322.78 and 394.92 is: 592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.96 : 1,322.78 = 394.92 : x
  2. Step 2: Convert to fraction form
    881.96/1,322.78 = 394.92/x
  3. Step 3: Cross multiply
    881.96x = 1,322.78 × 394.92
  4. Step 4: Simplify right side
    881.96x = 522,390.30
  5. Step 5: Solve for x
    x = 522,390.30/881.96
  6. Step 6: Final answer
    x = 592.31

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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.