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Finding the Fourth Proportional to 891.13, 1,337.42 and 378.49

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Solution

The fourth proportional to 891.13, 1,337.42 and 378.49 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.13 : 1,337.42 = 378.49 : x
  2. Step 2: Convert to fraction form
    891.13/1,337.42 = 378.49/x
  3. Step 3: Cross multiply
    891.13x = 1,337.42 × 378.49
  4. Step 4: Simplify right side
    891.13x = 506,198.20
  5. Step 5: Solve for x
    x = 506,198.20/891.13
  6. Step 6: Final answer
    x = 568.04

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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.