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Finding the Fourth Proportional to 872, 1,309.92 and 810.56

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Solution

The fourth proportional to 872, 1,309.92 and 810.56 is: 1,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 1,309.92 = 810.56 : x
  2. Step 2: Convert to fraction form
    872/1,309.92 = 810.56/x
  3. Step 3: Cross multiply
    872x = 1,309.92 × 810.56
  4. Step 4: Simplify right side
    872x = 1,061,768.76
  5. Step 5: Solve for x
    x = 1,061,768.76/872
  6. Step 6: Final answer
    x = 1,217.62

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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.