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Finding the Fourth Proportional to 1,089.19, 1,633.91 and 396.19

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Solution

The fourth proportional to 1,089.19, 1,633.91 and 396.19 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.19 : 1,633.91 = 396.19 : x
  2. Step 2: Convert to fraction form
    1,089.19/1,633.91 = 396.19/x
  3. Step 3: Cross multiply
    1,089.19x = 1,633.91 × 396.19
  4. Step 4: Simplify right side
    1,089.19x = 647,338.80
  5. Step 5: Solve for x
    x = 647,338.80/1,089.19
  6. Step 6: Final answer
    x = 594.33

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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.