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Finding the Fourth Proportional to 737.98, 1,107.02 and 275.75

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Solution

The fourth proportional to 737.98, 1,107.02 and 275.75 is: 413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.98 : 1,107.02 = 275.75 : x
  2. Step 2: Convert to fraction form
    737.98/1,107.02 = 275.75/x
  3. Step 3: Cross multiply
    737.98x = 1,107.02 × 275.75
  4. Step 4: Simplify right side
    737.98x = 305,253.85
  5. Step 5: Solve for x
    x = 305,253.85/737.98
  6. Step 6: Final answer
    x = 413.64

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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.