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Finding the Fourth Proportional to 1,107.21, 1,661.01 and 413.85

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Solution

The fourth proportional to 1,107.21, 1,661.01 and 413.85 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.21 : 1,661.01 = 413.85 : x
  2. Step 2: Convert to fraction form
    1,107.21/1,661.01 = 413.85/x
  3. Step 3: Cross multiply
    1,107.21x = 1,661.01 × 413.85
  4. Step 4: Simplify right side
    1,107.21x = 687,408.99
  5. Step 5: Solve for x
    x = 687,408.99/1,107.21
  6. Step 6: Final answer
    x = 620.85

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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.