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Finding the Fourth Proportional to 874.57, 1,206.80 and 850.96

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Solution

The fourth proportional to 874.57, 1,206.80 and 850.96 is: 1,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.57 : 1,206.80 = 850.96 : x
  2. Step 2: Convert to fraction form
    874.57/1,206.80 = 850.96/x
  3. Step 3: Cross multiply
    874.57x = 1,206.80 × 850.96
  4. Step 4: Simplify right side
    874.57x = 1,026,932.18
  5. Step 5: Solve for x
    x = 1,026,932.18/874.57
  6. Step 6: Final answer
    x = 1,174.21

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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.