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Finding the Fourth Proportional to 739.49, 1,109.23 and 328.55

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Solution

The fourth proportional to 739.49, 1,109.23 and 328.55 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.49 : 1,109.23 = 328.55 : x
  2. Step 2: Convert to fraction form
    739.49/1,109.23 = 328.55/x
  3. Step 3: Cross multiply
    739.49x = 1,109.23 × 328.55
  4. Step 4: Simplify right side
    739.49x = 364,431.15
  5. Step 5: Solve for x
    x = 364,431.15/739.49
  6. Step 6: Final answer
    x = 492.82

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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.