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Finding the Fourth Proportional to 1,609.22, 2,413.78 and 513.65

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Solution

The fourth proportional to 1,609.22, 2,413.78 and 513.65 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.22 : 2,413.78 = 513.65 : x
  2. Step 2: Convert to fraction form
    1,609.22/2,413.78 = 513.65/x
  3. Step 3: Cross multiply
    1,609.22x = 2,413.78 × 513.65
  4. Step 4: Simplify right side
    1,609.22x = 1,239,838.10
  5. Step 5: Solve for x
    x = 1,239,838.10/1,609.22
  6. Step 6: Final answer
    x = 770.46

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