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Finding the Fourth Proportional to 1,294.43, 1,787.49 and 942.38

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Solution

The fourth proportional to 1,294.43, 1,787.49 and 942.38 is: 1,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.43 : 1,787.49 = 942.38 : x
  2. Step 2: Convert to fraction form
    1,294.43/1,787.49 = 942.38/x
  3. Step 3: Cross multiply
    1,294.43x = 1,787.49 × 942.38
  4. Step 4: Simplify right side
    1,294.43x = 1,684,481.18
  5. Step 5: Solve for x
    x = 1,684,481.18/1,294.43
  6. Step 6: Final answer
    x = 1,301.33

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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.