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Finding the Fourth Proportional to 1,610.73, 2,413.67 and 1,489.23

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Solution

The fourth proportional to 1,610.73, 2,413.67 and 1,489.23 is: 2,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.73 : 2,413.67 = 1,489.23 : x
  2. Step 2: Convert to fraction form
    1,610.73/2,413.67 = 1,489.23/x
  3. Step 3: Cross multiply
    1,610.73x = 2,413.67 × 1,489.23
  4. Step 4: Simplify right side
    1,610.73x = 3,594,502.33
  5. Step 5: Solve for x
    x = 3,594,502.33/1,610.73
  6. Step 6: Final answer
    x = 2,231.60

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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.