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Finding the Fourth Proportional to 1,067.98, 1,602.04 and 327.49

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Solution

The fourth proportional to 1,067.98, 1,602.04 and 327.49 is: 491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.98 : 1,602.04 = 327.49 : x
  2. Step 2: Convert to fraction form
    1,067.98/1,602.04 = 327.49/x
  3. Step 3: Cross multiply
    1,067.98x = 1,602.04 × 327.49
  4. Step 4: Simplify right side
    1,067.98x = 524,657.31
  5. Step 5: Solve for x
    x = 524,657.31/1,067.98
  6. Step 6: Final answer
    x = 491.26

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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.