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Finding the Fourth Proportional to 843.79, 1,266.32 and 296.43

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Solution

The fourth proportional to 843.79, 1,266.32 and 296.43 is: 444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.79 : 1,266.32 = 296.43 : x
  2. Step 2: Convert to fraction form
    843.79/1,266.32 = 296.43/x
  3. Step 3: Cross multiply
    843.79x = 1,266.32 × 296.43
  4. Step 4: Simplify right side
    843.79x = 375,375.98
  5. Step 5: Solve for x
    x = 375,375.98/843.79
  6. Step 6: Final answer
    x = 444.87

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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.