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Finding the Fourth Proportional to 667.18, 1,002.22 and 645.31

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Solution

The fourth proportional to 667.18, 1,002.22 and 645.31 is: 969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.18 : 1,002.22 = 645.31 : x
  2. Step 2: Convert to fraction form
    667.18/1,002.22 = 645.31/x
  3. Step 3: Cross multiply
    667.18x = 1,002.22 × 645.31
  4. Step 4: Simplify right side
    667.18x = 646,738.47
  5. Step 5: Solve for x
    x = 646,738.47/667.18
  6. Step 6: Final answer
    x = 969.36

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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.