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Finding the Fourth Proportional to 667.64, 994.06 and 664.40

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Solution

The fourth proportional to 667.64, 994.06 and 664.40 is: 989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 994.06 = 664.40 : x
  2. Step 2: Convert to fraction form
    667.64/994.06 = 664.40/x
  3. Step 3: Cross multiply
    667.64x = 994.06 × 664.40
  4. Step 4: Simplify right side
    667.64x = 660,453.46
  5. Step 5: Solve for x
    x = 660,453.46/667.64
  6. Step 6: Final answer
    x = 989.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.