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Finding the Fourth Proportional to 775.76, 1,067.09 and 680.77

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Solution

The fourth proportional to 775.76, 1,067.09 and 680.77 is: 936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.76 : 1,067.09 = 680.77 : x
  2. Step 2: Convert to fraction form
    775.76/1,067.09 = 680.77/x
  3. Step 3: Cross multiply
    775.76x = 1,067.09 × 680.77
  4. Step 4: Simplify right side
    775.76x = 726,437.52
  5. Step 5: Solve for x
    x = 726,437.52/775.76
  6. Step 6: Final answer
    x = 936.42

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1.5x scale

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.