Home / 1,413.24-2,119.20-488.49

Finding the Fourth Proportional to 1,413.24, 2,119.20 and 488.49

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Solution

The fourth proportional to 1,413.24, 2,119.20 and 488.49 is: 732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,119.20 = 488.49 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,119.20 = 488.49/x
  3. Step 3: Cross multiply
    1,413.24x = 2,119.20 × 488.49
  4. Step 4: Simplify right side
    1,413.24x = 1,035,208.01
  5. Step 5: Solve for x
    x = 1,035,208.01/1,413.24
  6. Step 6: Final answer
    x = 732.51

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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.