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Finding the Fourth Proportional to 480.13, 662.20 and 322.71

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Solution

The fourth proportional to 480.13, 662.20 and 322.71 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.13 : 662.20 = 322.71 : x
  2. Step 2: Convert to fraction form
    480.13/662.20 = 322.71/x
  3. Step 3: Cross multiply
    480.13x = 662.20 × 322.71
  4. Step 4: Simplify right side
    480.13x = 213,697.76
  5. Step 5: Solve for x
    x = 213,697.76/480.13
  6. Step 6: Final answer
    x = 445.08

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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.