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Finding the Fourth Proportional to 872.73, 1,203.50 and 809.79

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Solution

The fourth proportional to 872.73, 1,203.50 and 809.79 is: 1,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.73 : 1,203.50 = 809.79 : x
  2. Step 2: Convert to fraction form
    872.73/1,203.50 = 809.79/x
  3. Step 3: Cross multiply
    872.73x = 1,203.50 × 809.79
  4. Step 4: Simplify right side
    872.73x = 974,578.22
  5. Step 5: Solve for x
    x = 974,578.22/872.73
  6. Step 6: Final answer
    x = 1,116.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.