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Finding the Fourth Proportional to 444.74, 667.01 and 322.49

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Solution

The fourth proportional to 444.74, 667.01 and 322.49 is: 483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.74 : 667.01 = 322.49 : x
  2. Step 2: Convert to fraction form
    444.74/667.01 = 322.49/x
  3. Step 3: Cross multiply
    444.74x = 667.01 × 322.49
  4. Step 4: Simplify right side
    444.74x = 215,104.05
  5. Step 5: Solve for x
    x = 215,104.05/444.74
  6. Step 6: Final answer
    x = 483.66

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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.