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Finding the Fourth Proportional to 1,608.92, 2,413.38 and 513.38

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Solution

The fourth proportional to 1,608.92, 2,413.38 and 513.38 is: 770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.92 : 2,413.38 = 513.38 : x
  2. Step 2: Convert to fraction form
    1,608.92/2,413.38 = 513.38/x
  3. Step 3: Cross multiply
    1,608.92x = 2,413.38 × 513.38
  4. Step 4: Simplify right side
    1,608.92x = 1,238,981.02
  5. Step 5: Solve for x
    x = 1,238,981.02/1,608.92
  6. Step 6: Final answer
    x = 770.07

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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.