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Finding the Fourth Proportional to 479.75, 661.82 and 322.43

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Solution

The fourth proportional to 479.75, 661.82 and 322.43 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.75 : 661.82 = 322.43 : x
  2. Step 2: Convert to fraction form
    479.75/661.82 = 322.43/x
  3. Step 3: Cross multiply
    479.75x = 661.82 × 322.43
  4. Step 4: Simplify right side
    479.75x = 213,385.70
  5. Step 5: Solve for x
    x = 213,385.70/479.75
  6. Step 6: Final answer
    x = 444.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.