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Finding the Fourth Proportional to 1,143.26, 1,577.50 and 789.90

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Solution

The fourth proportional to 1,143.26, 1,577.50 and 789.90 is: 1,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.26 : 1,577.50 = 789.90 : x
  2. Step 2: Convert to fraction form
    1,143.26/1,577.50 = 789.90/x
  3. Step 3: Cross multiply
    1,143.26x = 1,577.50 × 789.90
  4. Step 4: Simplify right side
    1,143.26x = 1,246,067.25
  5. Step 5: Solve for x
    x = 1,246,067.25/1,143.26
  6. Step 6: Final answer
    x = 1,089.92

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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.