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Finding the Fourth Proportional to 444.24, 664.94 and 378.62

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Solution

The fourth proportional to 444.24, 664.94 and 378.62 is: 566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 664.94 = 378.62 : x
  2. Step 2: Convert to fraction form
    444.24/664.94 = 378.62/x
  3. Step 3: Cross multiply
    444.24x = 664.94 × 378.62
  4. Step 4: Simplify right side
    444.24x = 251,759.58
  5. Step 5: Solve for x
    x = 251,759.58/444.24
  6. Step 6: Final answer
    x = 566.72

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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.