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Finding the Fourth Proportional to 1,067.47, 1,468.83 and 818.69

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Solution

The fourth proportional to 1,067.47, 1,468.83 and 818.69 is: 1,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.47 : 1,468.83 = 818.69 : x
  2. Step 2: Convert to fraction form
    1,067.47/1,468.83 = 818.69/x
  3. Step 3: Cross multiply
    1,067.47x = 1,468.83 × 818.69
  4. Step 4: Simplify right side
    1,067.47x = 1,202,516.43
  5. Step 5: Solve for x
    x = 1,202,516.43/1,067.47
  6. Step 6: Final answer
    x = 1,126.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.