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Finding the Fourth Proportional to 872.82, 1,309.22 and 295.70

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Solution

The fourth proportional to 872.82, 1,309.22 and 295.70 is: 443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.82 : 1,309.22 = 295.70 : x
  2. Step 2: Convert to fraction form
    872.82/1,309.22 = 295.70/x
  3. Step 3: Cross multiply
    872.82x = 1,309.22 × 295.70
  4. Step 4: Simplify right side
    872.82x = 387,128.33
  5. Step 5: Solve for x
    x = 387,128.33/872.82
  6. Step 6: Final answer
    x = 443.54

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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.