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Finding the Fourth Proportional to 480.44, 662.64 and 322.80

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Solution

The fourth proportional to 480.44, 662.64 and 322.80 is: 445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.44 : 662.64 = 322.80 : x
  2. Step 2: Convert to fraction form
    480.44/662.64 = 322.80/x
  3. Step 3: Cross multiply
    480.44x = 662.64 × 322.80
  4. Step 4: Simplify right side
    480.44x = 213,900.19
  5. Step 5: Solve for x
    x = 213,900.19/480.44
  6. Step 6: Final answer
    x = 445.22

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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.