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Finding the Fourth Proportional to 872.36, 1,202.87 and 635.89

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Solution

The fourth proportional to 872.36, 1,202.87 and 635.89 is: 876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.36 : 1,202.87 = 635.89 : x
  2. Step 2: Convert to fraction form
    872.36/1,202.87 = 635.89/x
  3. Step 3: Cross multiply
    872.36x = 1,202.87 × 635.89
  4. Step 4: Simplify right side
    872.36x = 764,889.92
  5. Step 5: Solve for x
    x = 764,889.92/872.36
  6. Step 6: Final answer
    x = 876.81

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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.