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Finding the Fourth Proportional to 960.57, 1,324.77 and 774

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Solution

The fourth proportional to 960.57, 1,324.77 and 774 is: 1,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.57 : 1,324.77 = 774 : x
  2. Step 2: Convert to fraction form
    960.57/1,324.77 = 774/x
  3. Step 3: Cross multiply
    960.57x = 1,324.77 × 774
  4. Step 4: Simplify right side
    960.57x = 1,025,371.98
  5. Step 5: Solve for x
    x = 1,025,371.98/960.57
  6. Step 6: Final answer
    x = 1,067.46

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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.