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Finding the Fourth Proportional to 667.58, 1,003.52 and 664.34

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Solution

The fourth proportional to 667.58, 1,003.52 and 664.34 is: 998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.58 : 1,003.52 = 664.34 : x
  2. Step 2: Convert to fraction form
    667.58/1,003.52 = 664.34/x
  3. Step 3: Cross multiply
    667.58x = 1,003.52 × 664.34
  4. Step 4: Simplify right side
    667.58x = 666,675.12
  5. Step 5: Solve for x
    x = 666,675.12/667.58
  6. Step 6: Final answer
    x = 998.65

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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.