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Finding the Fourth Proportional to 881.23, 1,321.50 and 394

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Solution

The fourth proportional to 881.23, 1,321.50 and 394 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.23 : 1,321.50 = 394 : x
  2. Step 2: Convert to fraction form
    881.23/1,321.50 = 394/x
  3. Step 3: Cross multiply
    881.23x = 1,321.50 × 394
  4. Step 4: Simplify right side
    881.23x = 520,671
  5. Step 5: Solve for x
    x = 520,671/881.23
  6. Step 6: Final answer
    x = 590.85

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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.