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Finding the Fourth Proportional to 1,576.94, 2,175.99 and 878.27

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Solution

The fourth proportional to 1,576.94, 2,175.99 and 878.27 is: 1,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.94 : 2,175.99 = 878.27 : x
  2. Step 2: Convert to fraction form
    1,576.94/2,175.99 = 878.27/x
  3. Step 3: Cross multiply
    1,576.94x = 2,175.99 × 878.27
  4. Step 4: Simplify right side
    1,576.94x = 1,911,095.86
  5. Step 5: Solve for x
    x = 1,911,095.86/1,576.94
  6. Step 6: Final answer
    x = 1,211.91

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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.