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Finding the Fourth Proportional to 743.44, 1,115.61 and 378.49

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Solution

The fourth proportional to 743.44, 1,115.61 and 378.49 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.44 : 1,115.61 = 378.49 : x
  2. Step 2: Convert to fraction form
    743.44/1,115.61 = 378.49/x
  3. Step 3: Cross multiply
    743.44x = 1,115.61 × 378.49
  4. Step 4: Simplify right side
    743.44x = 422,241.65
  5. Step 5: Solve for x
    x = 422,241.65/743.44
  6. Step 6: Final answer
    x = 567.96

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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.