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Finding the Fourth Proportional to 872.24, 1,316.12 and 838.48

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Solution

The fourth proportional to 872.24, 1,316.12 and 838.48 is: 1,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,316.12 = 838.48 : x
  2. Step 2: Convert to fraction form
    872.24/1,316.12 = 838.48/x
  3. Step 3: Cross multiply
    872.24x = 1,316.12 × 838.48
  4. Step 4: Simplify right side
    872.24x = 1,103,540.30
  5. Step 5: Solve for x
    x = 1,103,540.30/872.24
  6. Step 6: Final answer
    x = 1,265.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.