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Finding the Fourth Proportional to 874.12, 1,309.74 and 820.12

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Solution

The fourth proportional to 874.12, 1,309.74 and 820.12 is: 1,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,309.74 = 820.12 : x
  2. Step 2: Convert to fraction form
    874.12/1,309.74 = 820.12/x
  3. Step 3: Cross multiply
    874.12x = 1,309.74 × 820.12
  4. Step 4: Simplify right side
    874.12x = 1,074,143.97
  5. Step 5: Solve for x
    x = 1,074,143.97/874.12
  6. Step 6: Final answer
    x = 1,228.83

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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.