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Finding the Fourth Proportional to 1,097.44, 1,645.89 and 403.73

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Solution

The fourth proportional to 1,097.44, 1,645.89 and 403.73 is: 605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.44 : 1,645.89 = 403.73 : x
  2. Step 2: Convert to fraction form
    1,097.44/1,645.89 = 403.73/x
  3. Step 3: Cross multiply
    1,097.44x = 1,645.89 × 403.73
  4. Step 4: Simplify right side
    1,097.44x = 664,496.18
  5. Step 5: Solve for x
    x = 664,496.18/1,097.44
  6. Step 6: Final answer
    x = 605.50

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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.