Home / 2,413.14-3,618.98-769.30

Finding the Fourth Proportional to 2,413.14, 3,618.98 and 769.30

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Solution

The fourth proportional to 2,413.14, 3,618.98 and 769.30 is: 1,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.14 : 3,618.98 = 769.30 : x
  2. Step 2: Convert to fraction form
    2,413.14/3,618.98 = 769.30/x
  3. Step 3: Cross multiply
    2,413.14x = 3,618.98 × 769.30
  4. Step 4: Simplify right side
    2,413.14x = 2,784,071.30
  5. Step 5: Solve for x
    x = 2,784,071.30/2,413.14
  6. Step 6: Final answer
    x = 1,153.71

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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.