Home / 1,107.20-1,661.40-413.84

Finding the Fourth Proportional to 1,107.20, 1,661.40 and 413.84

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Solution

The fourth proportional to 1,107.20, 1,661.40 and 413.84 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.20 : 1,661.40 = 413.84 : x
  2. Step 2: Convert to fraction form
    1,107.20/1,661.40 = 413.84/x
  3. Step 3: Cross multiply
    1,107.20x = 1,661.40 × 413.84
  4. Step 4: Simplify right side
    1,107.20x = 687,545.47
  5. Step 5: Solve for x
    x = 687,545.47/1,107.20
  6. Step 6: Final answer
    x = 620.98

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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.