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Finding the Fourth Proportional to 1,576.62, 2,175.78 and 868.54

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Solution

The fourth proportional to 1,576.62, 2,175.78 and 868.54 is: 1,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.62 : 2,175.78 = 868.54 : x
  2. Step 2: Convert to fraction form
    1,576.62/2,175.78 = 868.54/x
  3. Step 3: Cross multiply
    1,576.62x = 2,175.78 × 868.54
  4. Step 4: Simplify right side
    1,576.62x = 1,889,751.96
  5. Step 5: Solve for x
    x = 1,889,751.96/1,576.62
  6. Step 6: Final answer
    x = 1,198.61

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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.