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Finding the Fourth Proportional to 1,067.78, 1,474.30 and 694.94

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Solution

The fourth proportional to 1,067.78, 1,474.30 and 694.94 is: 959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.78 : 1,474.30 = 694.94 : x
  2. Step 2: Convert to fraction form
    1,067.78/1,474.30 = 694.94/x
  3. Step 3: Cross multiply
    1,067.78x = 1,474.30 × 694.94
  4. Step 4: Simplify right side
    1,067.78x = 1,024,550.04
  5. Step 5: Solve for x
    x = 1,024,550.04/1,067.78
  6. Step 6: Final answer
    x = 959.51

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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.