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Finding the Fourth Proportional to 872.05, 1,202.79 and 577.75

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Solution

The fourth proportional to 872.05, 1,202.79 and 577.75 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.05 : 1,202.79 = 577.75 : x
  2. Step 2: Convert to fraction form
    872.05/1,202.79 = 577.75/x
  3. Step 3: Cross multiply
    872.05x = 1,202.79 × 577.75
  4. Step 4: Simplify right side
    872.05x = 694,911.92
  5. Step 5: Solve for x
    x = 694,911.92/872.05
  6. Step 6: Final answer
    x = 796.87

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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.