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Finding the Fourth Proportional to 1,294.01, 1,786.01 and 851.95

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Solution

The fourth proportional to 1,294.01, 1,786.01 and 851.95 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.01 : 1,786.01 = 851.95 : x
  2. Step 2: Convert to fraction form
    1,294.01/1,786.01 = 851.95/x
  3. Step 3: Cross multiply
    1,294.01x = 1,786.01 × 851.95
  4. Step 4: Simplify right side
    1,294.01x = 1,521,591.22
  5. Step 5: Solve for x
    x = 1,521,591.22/1,294.01
  6. Step 6: Final answer
    x = 1,175.87

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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.