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Finding the Fourth Proportional to 667.82, 919.67 and 543.08

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Solution

The fourth proportional to 667.82, 919.67 and 543.08 is: 747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 919.67 = 543.08 : x
  2. Step 2: Convert to fraction form
    667.82/919.67 = 543.08/x
  3. Step 3: Cross multiply
    667.82x = 919.67 × 543.08
  4. Step 4: Simplify right side
    667.82x = 499,447.07
  5. Step 5: Solve for x
    x = 499,447.07/667.82
  6. Step 6: Final answer
    x = 747.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.