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Finding the Fourth Proportional to 1,067.82, 1,473.71 and 768.99

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Solution

The fourth proportional to 1,067.82, 1,473.71 and 768.99 is: 1,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.82 : 1,473.71 = 768.99 : x
  2. Step 2: Convert to fraction form
    1,067.82/1,473.71 = 768.99/x
  3. Step 3: Cross multiply
    1,067.82x = 1,473.71 × 768.99
  4. Step 4: Simplify right side
    1,067.82x = 1,133,268.25
  5. Step 5: Solve for x
    x = 1,133,268.25/1,067.82
  6. Step 6: Final answer
    x = 1,061.29

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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.