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Finding the Fourth Proportional to 1,342.34, 1,850.49 and 942.78

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Solution

The fourth proportional to 1,342.34, 1,850.49 and 942.78 is: 1,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.34 : 1,850.49 = 942.78 : x
  2. Step 2: Convert to fraction form
    1,342.34/1,850.49 = 942.78/x
  3. Step 3: Cross multiply
    1,342.34x = 1,850.49 × 942.78
  4. Step 4: Simplify right side
    1,342.34x = 1,744,604.96
  5. Step 5: Solve for x
    x = 1,744,604.96/1,342.34
  6. Step 6: Final answer
    x = 1,299.68

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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.