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Finding the Fourth Proportional to 1,143.31, 1,578.31 and 765.85

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Solution

The fourth proportional to 1,143.31, 1,578.31 and 765.85 is: 1,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.31 : 1,578.31 = 765.85 : x
  2. Step 2: Convert to fraction form
    1,143.31/1,578.31 = 765.85/x
  3. Step 3: Cross multiply
    1,143.31x = 1,578.31 × 765.85
  4. Step 4: Simplify right side
    1,143.31x = 1,208,737.95
  5. Step 5: Solve for x
    x = 1,208,737.95/1,143.31
  6. Step 6: Final answer
    x = 1,057.23

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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.