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Finding the Fourth Proportional to 1,183.25, 1,775.69 and 413.75

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Solution

The fourth proportional to 1,183.25, 1,775.69 and 413.75 is: 620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.25 : 1,775.69 = 413.75 : x
  2. Step 2: Convert to fraction form
    1,183.25/1,775.69 = 413.75/x
  3. Step 3: Cross multiply
    1,183.25x = 1,775.69 × 413.75
  4. Step 4: Simplify right side
    1,183.25x = 734,691.74
  5. Step 5: Solve for x
    x = 734,691.74/1,183.25
  6. Step 6: Final answer
    x = 620.91

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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.