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Finding the Fourth Proportional to 739.66, 1,109.21 and 252.62

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Solution

The fourth proportional to 739.66, 1,109.21 and 252.62 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.66 : 1,109.21 = 252.62 : x
  2. Step 2: Convert to fraction form
    739.66/1,109.21 = 252.62/x
  3. Step 3: Cross multiply
    739.66x = 1,109.21 × 252.62
  4. Step 4: Simplify right side
    739.66x = 280,208.63
  5. Step 5: Solve for x
    x = 280,208.63/739.66
  6. Step 6: Final answer
    x = 378.83

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1.5x scale

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.