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Finding the Fourth Proportional to 739.22, 1,108.83 and 306.39

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Solution

The fourth proportional to 739.22, 1,108.83 and 306.39 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.22 : 1,108.83 = 306.39 : x
  2. Step 2: Convert to fraction form
    739.22/1,108.83 = 306.39/x
  3. Step 3: Cross multiply
    739.22x = 1,108.83 × 306.39
  4. Step 4: Simplify right side
    739.22x = 339,734.42
  5. Step 5: Solve for x
    x = 339,734.42/739.22
  6. Step 6: Final answer
    x = 459.58

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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.