Home / 1,413.07-2,119.30-438.95

Finding the Fourth Proportional to 1,413.07, 2,119.30 and 438.95

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Solution

The fourth proportional to 1,413.07, 2,119.30 and 438.95 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.07 : 2,119.30 = 438.95 : x
  2. Step 2: Convert to fraction form
    1,413.07/2,119.30 = 438.95/x
  3. Step 3: Cross multiply
    1,413.07x = 2,119.30 × 438.95
  4. Step 4: Simplify right side
    1,413.07x = 930,270.94
  5. Step 5: Solve for x
    x = 930,270.94/1,413.07
  6. Step 6: Final answer
    x = 658.33

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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.