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Finding the Fourth Proportional to 837.61, 1,256.41 and 344.28

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Solution

The fourth proportional to 837.61, 1,256.41 and 344.28 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.61 : 1,256.41 = 344.28 : x
  2. Step 2: Convert to fraction form
    837.61/1,256.41 = 344.28/x
  3. Step 3: Cross multiply
    837.61x = 1,256.41 × 344.28
  4. Step 4: Simplify right side
    837.61x = 432,555.97
  5. Step 5: Solve for x
    x = 432,555.97/837.61
  6. Step 6: Final answer
    x = 516.42

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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.