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Finding the Fourth Proportional to 1,576.64, 2,175.72 and 878

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Solution

The fourth proportional to 1,576.64, 2,175.72 and 878 is: 1,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.64 : 2,175.72 = 878 : x
  2. Step 2: Convert to fraction form
    1,576.64/2,175.72 = 878/x
  3. Step 3: Cross multiply
    1,576.64x = 2,175.72 × 878
  4. Step 4: Simplify right side
    1,576.64x = 1,910,282.16
  5. Step 5: Solve for x
    x = 1,910,282.16/1,576.64
  6. Step 6: Final answer
    x = 1,211.62

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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.