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Finding the Fourth Proportional to 739.60, 1,109.62 and 219.62

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Solution

The fourth proportional to 739.60, 1,109.62 and 219.62 is: 329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.60 : 1,109.62 = 219.62 : x
  2. Step 2: Convert to fraction form
    739.60/1,109.62 = 219.62/x
  3. Step 3: Cross multiply
    739.60x = 1,109.62 × 219.62
  4. Step 4: Simplify right side
    739.60x = 243,695.29
  5. Step 5: Solve for x
    x = 243,695.29/739.60
  6. Step 6: Final answer
    x = 329.50

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Double scale
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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.