Home / 1,413.23-2,119.82-387.23

Finding the Fourth Proportional to 1,413.23, 2,119.82 and 387.23

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Solution

The fourth proportional to 1,413.23, 2,119.82 and 387.23 is: 580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.23 : 2,119.82 = 387.23 : x
  2. Step 2: Convert to fraction form
    1,413.23/2,119.82 = 387.23/x
  3. Step 3: Cross multiply
    1,413.23x = 2,119.82 × 387.23
  4. Step 4: Simplify right side
    1,413.23x = 820,857.90
  5. Step 5: Solve for x
    x = 820,857.90/1,413.23
  6. Step 6: Final answer
    x = 580.84

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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.