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Finding the Fourth Proportional to 836.20, 1,245.68 and 810.70

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Solution

The fourth proportional to 836.20, 1,245.68 and 810.70 is: 1,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.20 : 1,245.68 = 810.70 : x
  2. Step 2: Convert to fraction form
    836.20/1,245.68 = 810.70/x
  3. Step 3: Cross multiply
    836.20x = 1,245.68 × 810.70
  4. Step 4: Simplify right side
    836.20x = 1,009,872.78
  5. Step 5: Solve for x
    x = 1,009,872.78/836.20
  6. Step 6: Final answer
    x = 1,207.69

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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.