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Finding the Fourth Proportional to 739.07, 1,019.96 and 444.34

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Solution

The fourth proportional to 739.07, 1,019.96 and 444.34 is: 613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.07 : 1,019.96 = 444.34 : x
  2. Step 2: Convert to fraction form
    739.07/1,019.96 = 444.34/x
  3. Step 3: Cross multiply
    739.07x = 1,019.96 × 444.34
  4. Step 4: Simplify right side
    739.07x = 453,205.92
  5. Step 5: Solve for x
    x = 453,205.92/739.07
  6. Step 6: Final answer
    x = 613.22

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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.