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Finding the Fourth Proportional to 944.27, 1,413.99 and 739.91

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Solution

The fourth proportional to 944.27, 1,413.99 and 739.91 is: 1,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.27 : 1,413.99 = 739.91 : x
  2. Step 2: Convert to fraction form
    944.27/1,413.99 = 739.91/x
  3. Step 3: Cross multiply
    944.27x = 1,413.99 × 739.91
  4. Step 4: Simplify right side
    944.27x = 1,046,218.27
  5. Step 5: Solve for x
    x = 1,046,218.27/944.27
  6. Step 6: Final answer
    x = 1,107.97

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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.