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Finding the Fourth Proportional to 801.14, 1,195.97 and 678.06

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Solution

The fourth proportional to 801.14, 1,195.97 and 678.06 is: 1,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.14 : 1,195.97 = 678.06 : x
  2. Step 2: Convert to fraction form
    801.14/1,195.97 = 678.06/x
  3. Step 3: Cross multiply
    801.14x = 1,195.97 × 678.06
  4. Step 4: Simplify right side
    801.14x = 810,936.03
  5. Step 5: Solve for x
    x = 810,936.03/801.14
  6. Step 6: Final answer
    x = 1,012.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.