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Finding the Fourth Proportional to 1,143.97, 1,578.98 and 789.95

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Solution

The fourth proportional to 1,143.97, 1,578.98 and 789.95 is: 1,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.97 : 1,578.98 = 789.95 : x
  2. Step 2: Convert to fraction form
    1,143.97/1,578.98 = 789.95/x
  3. Step 3: Cross multiply
    1,143.97x = 1,578.98 × 789.95
  4. Step 4: Simplify right side
    1,143.97x = 1,247,303.41
  5. Step 5: Solve for x
    x = 1,247,303.41/1,143.97
  6. Step 6: Final answer
    x = 1,090.33

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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.