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Finding the Fourth Proportional to 1,067, 1,600.62 and 490.28

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Solution

The fourth proportional to 1,067, 1,600.62 and 490.28 is: 735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067 : 1,600.62 = 490.28 : x
  2. Step 2: Convert to fraction form
    1,067/1,600.62 = 490.28/x
  3. Step 3: Cross multiply
    1,067x = 1,600.62 × 490.28
  4. Step 4: Simplify right side
    1,067x = 784,751.97
  5. Step 5: Solve for x
    x = 784,751.97/1,067
  6. Step 6: Final answer
    x = 735.48

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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.