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Finding the Fourth Proportional to 2,413.03, 3,619.71 and 769.72

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Solution

The fourth proportional to 2,413.03, 3,619.71 and 769.72 is: 1,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.03 : 3,619.71 = 769.72 : x
  2. Step 2: Convert to fraction form
    2,413.03/3,619.71 = 769.72/x
  3. Step 3: Cross multiply
    2,413.03x = 3,619.71 × 769.72
  4. Step 4: Simplify right side
    2,413.03x = 2,786,163.18
  5. Step 5: Solve for x
    x = 2,786,163.18/2,413.03
  6. Step 6: Final answer
    x = 1,154.63

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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.