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Finding the Fourth Proportional to 1,067.46, 1,468.47 and 870.54

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Solution

The fourth proportional to 1,067.46, 1,468.47 and 870.54 is: 1,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.46 : 1,468.47 = 870.54 : x
  2. Step 2: Convert to fraction form
    1,067.46/1,468.47 = 870.54/x
  3. Step 3: Cross multiply
    1,067.46x = 1,468.47 × 870.54
  4. Step 4: Simplify right side
    1,067.46x = 1,278,361.87
  5. Step 5: Solve for x
    x = 1,278,361.87/1,067.46
  6. Step 6: Final answer
    x = 1,197.57

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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.