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Finding the Fourth Proportional to 788.25, 1,183.08 and 413.31

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Solution

The fourth proportional to 788.25, 1,183.08 and 413.31 is: 620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.25 : 1,183.08 = 413.31 : x
  2. Step 2: Convert to fraction form
    788.25/1,183.08 = 413.31/x
  3. Step 3: Cross multiply
    788.25x = 1,183.08 × 413.31
  4. Step 4: Simplify right side
    788.25x = 488,978.79
  5. Step 5: Solve for x
    x = 488,978.79/788.25
  6. Step 6: Final answer
    x = 620.33

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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.