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Finding the Fourth Proportional to 666.28, 997.60 and 447.24

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Solution

The fourth proportional to 666.28, 997.60 and 447.24 is: 669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.28 : 997.60 = 447.24 : x
  2. Step 2: Convert to fraction form
    666.28/997.60 = 447.24/x
  3. Step 3: Cross multiply
    666.28x = 997.60 × 447.24
  4. Step 4: Simplify right side
    666.28x = 446,166.62
  5. Step 5: Solve for x
    x = 446,166.62/666.28
  6. Step 6: Final answer
    x = 669.64

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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.