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Finding the Fourth Proportional to 1,294.62, 1,794.10 and 1,269.99

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Solution

The fourth proportional to 1,294.62, 1,794.10 and 1,269.99 is: 1,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.62 : 1,794.10 = 1,269.99 : x
  2. Step 2: Convert to fraction form
    1,294.62/1,794.10 = 1,269.99/x
  3. Step 3: Cross multiply
    1,294.62x = 1,794.10 × 1,269.99
  4. Step 4: Simplify right side
    1,294.62x = 2,278,489.06
  5. Step 5: Solve for x
    x = 2,278,489.06/1,294.62
  6. Step 6: Final answer
    x = 1,759.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.