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Finding the Fourth Proportional to 667.14, 999.93 and 378.78

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Solution

The fourth proportional to 667.14, 999.93 and 378.78 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 999.93 = 378.78 : x
  2. Step 2: Convert to fraction form
    667.14/999.93 = 378.78/x
  3. Step 3: Cross multiply
    667.14x = 999.93 × 378.78
  4. Step 4: Simplify right side
    667.14x = 378,753.49
  5. Step 5: Solve for x
    x = 378,753.49/667.14
  6. Step 6: Final answer
    x = 567.73

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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.