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Finding the Fourth Proportional to 667.98, 999.54 and 494.22

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Solution

The fourth proportional to 667.98, 999.54 and 494.22 is: 739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.98 : 999.54 = 494.22 : x
  2. Step 2: Convert to fraction form
    667.98/999.54 = 494.22/x
  3. Step 3: Cross multiply
    667.98x = 999.54 × 494.22
  4. Step 4: Simplify right side
    667.98x = 493,992.66
  5. Step 5: Solve for x
    x = 493,992.66/667.98
  6. Step 6: Final answer
    x = 739.53

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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.