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Finding the Fourth Proportional to 891.39, 1,337.27 and 306.44

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Solution

The fourth proportional to 891.39, 1,337.27 and 306.44 is: 459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.39 : 1,337.27 = 306.44 : x
  2. Step 2: Convert to fraction form
    891.39/1,337.27 = 306.44/x
  3. Step 3: Cross multiply
    891.39x = 1,337.27 × 306.44
  4. Step 4: Simplify right side
    891.39x = 409,793.02
  5. Step 5: Solve for x
    x = 409,793.02/891.39
  6. Step 6: Final answer
    x = 459.72

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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.