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Finding the Fourth Proportional to 739.69, 1,020.41 and 444.73

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Solution

The fourth proportional to 739.69, 1,020.41 and 444.73 is: 613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.69 : 1,020.41 = 444.73 : x
  2. Step 2: Convert to fraction form
    739.69/1,020.41 = 444.73/x
  3. Step 3: Cross multiply
    739.69x = 1,020.41 × 444.73
  4. Step 4: Simplify right side
    739.69x = 453,806.94
  5. Step 5: Solve for x
    x = 453,806.94/739.69
  6. Step 6: Final answer
    x = 613.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.