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Finding the Fourth Proportional to 737.73, 1,107 and 275.83

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Solution

The fourth proportional to 737.73, 1,107 and 275.83 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.73 : 1,107 = 275.83 : x
  2. Step 2: Convert to fraction form
    737.73/1,107 = 275.83/x
  3. Step 3: Cross multiply
    737.73x = 1,107 × 275.83
  4. Step 4: Simplify right side
    737.73x = 305,341.04
  5. Step 5: Solve for x
    x = 305,341.04/737.73
  6. Step 6: Final answer
    x = 413.89

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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.