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Finding the Fourth Proportional to 739.35, 1,109.40 and 328.44

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Solution

The fourth proportional to 739.35, 1,109.40 and 328.44 is: 492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,109.40 = 328.44 : x
  2. Step 2: Convert to fraction form
    739.35/1,109.40 = 328.44/x
  3. Step 3: Cross multiply
    739.35x = 1,109.40 × 328.44
  4. Step 4: Simplify right side
    739.35x = 364,371.34
  5. Step 5: Solve for x
    x = 364,371.34/739.35
  6. Step 6: Final answer
    x = 492.83

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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.