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Finding the Fourth Proportional to 444.24, 666.36 and 443.60

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Solution

The fourth proportional to 444.24, 666.36 and 443.60 is: 665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 666.36 = 443.60 : x
  2. Step 2: Convert to fraction form
    444.24/666.36 = 443.60/x
  3. Step 3: Cross multiply
    444.24x = 666.36 × 443.60
  4. Step 4: Simplify right side
    444.24x = 295,591.75
  5. Step 5: Solve for x
    x = 295,591.75/444.24
  6. Step 6: Final answer
    x = 665.39

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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.