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Finding the Fourth Proportional to 1,576.50, 2,175.57 and 878.01

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Solution

The fourth proportional to 1,576.50, 2,175.57 and 878.01 is: 1,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.50 : 2,175.57 = 878.01 : x
  2. Step 2: Convert to fraction form
    1,576.50/2,175.57 = 878.01/x
  3. Step 3: Cross multiply
    1,576.50x = 2,175.57 × 878.01
  4. Step 4: Simplify right side
    1,576.50x = 1,910,172.22
  5. Step 5: Solve for x
    x = 1,910,172.22/1,576.50
  6. Step 6: Final answer
    x = 1,211.65

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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.