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Finding the Fourth Proportional to 667.05, 998.66 and 645.18

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Solution

The fourth proportional to 667.05, 998.66 and 645.18 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.05 : 998.66 = 645.18 : x
  2. Step 2: Convert to fraction form
    667.05/998.66 = 645.18/x
  3. Step 3: Cross multiply
    667.05x = 998.66 × 645.18
  4. Step 4: Simplify right side
    667.05x = 644,317.07
  5. Step 5: Solve for x
    x = 644,317.07/667.05
  6. Step 6: Final answer
    x = 965.92

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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.