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Finding the Fourth Proportional to 1,100.78, 1,519.02 and 635

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Solution

The fourth proportional to 1,100.78, 1,519.02 and 635 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.78 : 1,519.02 = 635 : x
  2. Step 2: Convert to fraction form
    1,100.78/1,519.02 = 635/x
  3. Step 3: Cross multiply
    1,100.78x = 1,519.02 × 635
  4. Step 4: Simplify right side
    1,100.78x = 964,577.70
  5. Step 5: Solve for x
    x = 964,577.70/1,100.78
  6. Step 6: Final answer
    x = 876.27

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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.