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Finding the Fourth Proportional to 994.36, 1,372.84 and 680.14

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Solution

The fourth proportional to 994.36, 1,372.84 and 680.14 is: 939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.36 : 1,372.84 = 680.14 : x
  2. Step 2: Convert to fraction form
    994.36/1,372.84 = 680.14/x
  3. Step 3: Cross multiply
    994.36x = 1,372.84 × 680.14
  4. Step 4: Simplify right side
    994.36x = 933,723.40
  5. Step 5: Solve for x
    x = 933,723.40/994.36
  6. Step 6: Final answer
    x = 939.02

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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.