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Finding the Fourth Proportional to 743.56, 1,115.26 and 378.58

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Solution

The fourth proportional to 743.56, 1,115.26 and 378.58 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.56 : 1,115.26 = 378.58 : x
  2. Step 2: Convert to fraction form
    743.56/1,115.26 = 378.58/x
  3. Step 3: Cross multiply
    743.56x = 1,115.26 × 378.58
  4. Step 4: Simplify right side
    743.56x = 422,215.13
  5. Step 5: Solve for x
    x = 422,215.13/743.56
  6. Step 6: Final answer
    x = 567.83

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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.