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Finding the Fourth Proportional to 1,067.64, 1,599.49 and 738.60

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Solution

The fourth proportional to 1,067.64, 1,599.49 and 738.60 is: 1,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.64 : 1,599.49 = 738.60 : x
  2. Step 2: Convert to fraction form
    1,067.64/1,599.49 = 738.60/x
  3. Step 3: Cross multiply
    1,067.64x = 1,599.49 × 738.60
  4. Step 4: Simplify right side
    1,067.64x = 1,181,383.31
  5. Step 5: Solve for x
    x = 1,181,383.31/1,067.64
  6. Step 6: Final answer
    x = 1,106.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.