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Finding the Fourth Proportional to 788.49, 1,183.26 and 275.49

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Solution

The fourth proportional to 788.49, 1,183.26 and 275.49 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.49 : 1,183.26 = 275.49 : x
  2. Step 2: Convert to fraction form
    788.49/1,183.26 = 275.49/x
  3. Step 3: Cross multiply
    788.49x = 1,183.26 × 275.49
  4. Step 4: Simplify right side
    788.49x = 325,977.33
  5. Step 5: Solve for x
    x = 325,977.33/788.49
  6. Step 6: Final answer
    x = 413.42

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1.5x scale

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.