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Finding the Fourth Proportional to 667.45, 999.96 and 492.19

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Solution

The fourth proportional to 667.45, 999.96 and 492.19 is: 737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.45 : 999.96 = 492.19 : x
  2. Step 2: Convert to fraction form
    667.45/999.96 = 492.19/x
  3. Step 3: Cross multiply
    667.45x = 999.96 × 492.19
  4. Step 4: Simplify right side
    667.45x = 492,165.97
  5. Step 5: Solve for x
    x = 492,165.97/667.45
  6. Step 6: Final answer
    x = 737.38

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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.