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Finding the Fourth Proportional to 1,294.13, 1,940.49 and 513.34

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Solution

The fourth proportional to 1,294.13, 1,940.49 and 513.34 is: 769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.13 : 1,940.49 = 513.34 : x
  2. Step 2: Convert to fraction form
    1,294.13/1,940.49 = 513.34/x
  3. Step 3: Cross multiply
    1,294.13x = 1,940.49 × 513.34
  4. Step 4: Simplify right side
    1,294.13x = 996,131.14
  5. Step 5: Solve for x
    x = 996,131.14/1,294.13
  6. Step 6: Final answer
    x = 769.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.