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Finding the Fourth Proportional to 843.44, 1,266.32 and 432.86

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Solution

The fourth proportional to 843.44, 1,266.32 and 432.86 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.44 : 1,266.32 = 432.86 : x
  2. Step 2: Convert to fraction form
    843.44/1,266.32 = 432.86/x
  3. Step 3: Cross multiply
    843.44x = 1,266.32 × 432.86
  4. Step 4: Simplify right side
    843.44x = 548,139.28
  5. Step 5: Solve for x
    x = 548,139.28/843.44
  6. Step 6: Final answer
    x = 649.89

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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.