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Finding the Fourth Proportional to 1,089.23, 1,633.97 and 396.22

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Solution

The fourth proportional to 1,089.23, 1,633.97 and 396.22 is: 594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.23 : 1,633.97 = 396.22 : x
  2. Step 2: Convert to fraction form
    1,089.23/1,633.97 = 396.22/x
  3. Step 3: Cross multiply
    1,089.23x = 1,633.97 × 396.22
  4. Step 4: Simplify right side
    1,089.23x = 647,413.70
  5. Step 5: Solve for x
    x = 647,413.70/1,089.23
  6. Step 6: Final answer
    x = 594.38

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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.