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Finding the Fourth Proportional to 667.29, 1,001.44 and 436.11

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Solution

The fourth proportional to 667.29, 1,001.44 and 436.11 is: 654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.29 : 1,001.44 = 436.11 : x
  2. Step 2: Convert to fraction form
    667.29/1,001.44 = 436.11/x
  3. Step 3: Cross multiply
    667.29x = 1,001.44 × 436.11
  4. Step 4: Simplify right side
    667.29x = 436,736.38
  5. Step 5: Solve for x
    x = 436,736.38/667.29
  6. Step 6: Final answer
    x = 654.49

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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.