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Finding the Fourth Proportional to 775.19, 1,067.47 and 641.42

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Solution

The fourth proportional to 775.19, 1,067.47 and 641.42 is: 883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.19 : 1,067.47 = 641.42 : x
  2. Step 2: Convert to fraction form
    775.19/1,067.47 = 641.42/x
  3. Step 3: Cross multiply
    775.19x = 1,067.47 × 641.42
  4. Step 4: Simplify right side
    775.19x = 684,697.67
  5. Step 5: Solve for x
    x = 684,697.67/775.19
  6. Step 6: Final answer
    x = 883.27

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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.