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Finding the Fourth Proportional to 1,083.78, 1,627.29 and 1,067.58

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Solution

The fourth proportional to 1,083.78, 1,627.29 and 1,067.58 is: 1,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.78 : 1,627.29 = 1,067.58 : x
  2. Step 2: Convert to fraction form
    1,083.78/1,627.29 = 1,067.58/x
  3. Step 3: Cross multiply
    1,083.78x = 1,627.29 × 1,067.58
  4. Step 4: Simplify right side
    1,083.78x = 1,737,262.26
  5. Step 5: Solve for x
    x = 1,737,262.26/1,083.78
  6. Step 6: Final answer
    x = 1,602.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.