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Finding the Fourth Proportional to 2,413.64, 3,619.38 and 769.88

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Solution

The fourth proportional to 2,413.64, 3,619.38 and 769.88 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.64 : 3,619.38 = 769.88 : x
  2. Step 2: Convert to fraction form
    2,413.64/3,619.38 = 769.88/x
  3. Step 3: Cross multiply
    2,413.64x = 3,619.38 × 769.88
  4. Step 4: Simplify right side
    2,413.64x = 2,786,488.27
  5. Step 5: Solve for x
    x = 2,786,488.27/2,413.64
  6. Step 6: Final answer
    x = 1,154.48

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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.