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Finding the Fourth Proportional to 836.46, 1,245.78 and 826.74

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Solution

The fourth proportional to 836.46, 1,245.78 and 826.74 is: 1,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.46 : 1,245.78 = 826.74 : x
  2. Step 2: Convert to fraction form
    836.46/1,245.78 = 826.74/x
  3. Step 3: Cross multiply
    836.46x = 1,245.78 × 826.74
  4. Step 4: Simplify right side
    836.46x = 1,029,936.16
  5. Step 5: Solve for x
    x = 1,029,936.16/836.46
  6. Step 6: Final answer
    x = 1,231.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.