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Finding the Fourth Proportional to 834.66, 1,253.16 and 820.08

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Solution

The fourth proportional to 834.66, 1,253.16 and 820.08 is: 1,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,253.16 = 820.08 : x
  2. Step 2: Convert to fraction form
    834.66/1,253.16 = 820.08/x
  3. Step 3: Cross multiply
    834.66x = 1,253.16 × 820.08
  4. Step 4: Simplify right side
    834.66x = 1,027,691.45
  5. Step 5: Solve for x
    x = 1,027,691.45/834.66
  6. Step 6: Final answer
    x = 1,231.27

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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.