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Finding the Fourth Proportional to 836.80, 1,253.81 and 682.49

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Solution

The fourth proportional to 836.80, 1,253.81 and 682.49 is: 1,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.80 : 1,253.81 = 682.49 : x
  2. Step 2: Convert to fraction form
    836.80/1,253.81 = 682.49/x
  3. Step 3: Cross multiply
    836.80x = 1,253.81 × 682.49
  4. Step 4: Simplify right side
    836.80x = 855,717.63
  5. Step 5: Solve for x
    x = 855,717.63/836.80
  6. Step 6: Final answer
    x = 1,022.61

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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.