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Finding the Fourth Proportional to 444.69, 663.64 and 396.09

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Solution

The fourth proportional to 444.69, 663.64 and 396.09 is: 591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.69 : 663.64 = 396.09 : x
  2. Step 2: Convert to fraction form
    444.69/663.64 = 396.09/x
  3. Step 3: Cross multiply
    444.69x = 663.64 × 396.09
  4. Step 4: Simplify right side
    444.69x = 262,860.18
  5. Step 5: Solve for x
    x = 262,860.18/444.69
  6. Step 6: Final answer
    x = 591.11

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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.