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Finding the Fourth Proportional to 1,183.09, 1,774.78 and 403.22

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Solution

The fourth proportional to 1,183.09, 1,774.78 and 403.22 is: 604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.09 : 1,774.78 = 403.22 : x
  2. Step 2: Convert to fraction form
    1,183.09/1,774.78 = 403.22/x
  3. Step 3: Cross multiply
    1,183.09x = 1,774.78 × 403.22
  4. Step 4: Simplify right side
    1,183.09x = 715,626.79
  5. Step 5: Solve for x
    x = 715,626.79/1,183.09
  6. Step 6: Final answer
    x = 604.88

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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.