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Finding the Fourth Proportional to 1,296.20, 1,786.68 and 994.07

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Solution

The fourth proportional to 1,296.20, 1,786.68 and 994.07 is: 1,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.20 : 1,786.68 = 994.07 : x
  2. Step 2: Convert to fraction form
    1,296.20/1,786.68 = 994.07/x
  3. Step 3: Cross multiply
    1,296.20x = 1,786.68 × 994.07
  4. Step 4: Simplify right side
    1,296.20x = 1,776,076.05
  5. Step 5: Solve for x
    x = 1,776,076.05/1,296.20
  6. Step 6: Final answer
    x = 1,370.22

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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.