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Finding the Fourth Proportional to 444.20, 662.84 and 385.88

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Solution

The fourth proportional to 444.20, 662.84 and 385.88 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 662.84 = 385.88 : x
  2. Step 2: Convert to fraction form
    444.20/662.84 = 385.88/x
  3. Step 3: Cross multiply
    444.20x = 662.84 × 385.88
  4. Step 4: Simplify right side
    444.20x = 255,771.46
  5. Step 5: Solve for x
    x = 255,771.46/444.20
  6. Step 6: Final answer
    x = 575.81

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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.