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Finding the Fourth Proportional to 1,067.14, 1,600.80 and 297.64

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Solution

The fourth proportional to 1,067.14, 1,600.80 and 297.64 is: 446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.14 : 1,600.80 = 297.64 : x
  2. Step 2: Convert to fraction form
    1,067.14/1,600.80 = 297.64/x
  3. Step 3: Cross multiply
    1,067.14x = 1,600.80 × 297.64
  4. Step 4: Simplify right side
    1,067.14x = 476,462.11
  5. Step 5: Solve for x
    x = 476,462.11/1,067.14
  6. Step 6: Final answer
    x = 446.49

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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.