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Finding the Fourth Proportional to 444.10, 664.80 and 444.10

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Solution

The fourth proportional to 444.10, 664.80 and 444.10 is: 664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.10 : 664.80 = 444.10 : x
  2. Step 2: Convert to fraction form
    444.10/664.80 = 444.10/x
  3. Step 3: Cross multiply
    444.10x = 664.80 × 444.10
  4. Step 4: Simplify right side
    444.10x = 295,237.68
  5. Step 5: Solve for x
    x = 295,237.68/444.10
  6. Step 6: Final answer
    x = 664.80

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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.