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Finding the Fourth Proportional to 2,413.00, 3,620.13 and 681.63

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Solution

The fourth proportional to 2,413.00, 3,620.13 and 681.63 is: 1,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.00 : 3,620.13 = 681.63 : x
  2. Step 2: Convert to fraction form
    2,413.00/3,620.13 = 681.63/x
  3. Step 3: Cross multiply
    2,413.00x = 3,620.13 × 681.63
  4. Step 4: Simplify right side
    2,413.00x = 2,467,573.08
  5. Step 5: Solve for x
    x = 2,467,573.08/2,413.00
  6. Step 6: Final answer
    x = 1,022.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.