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Finding the Fourth Proportional to 811.12, 1,214.24 and 680.44

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Solution

The fourth proportional to 811.12, 1,214.24 and 680.44 is: 1,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.12 : 1,214.24 = 680.44 : x
  2. Step 2: Convert to fraction form
    811.12/1,214.24 = 680.44/x
  3. Step 3: Cross multiply
    811.12x = 1,214.24 × 680.44
  4. Step 4: Simplify right side
    811.12x = 826,217.47
  5. Step 5: Solve for x
    x = 826,217.47/811.12
  6. Step 6: Final answer
    x = 1,018.61

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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.