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Finding the Fourth Proportional to 480.52, 662.84 and 332.90

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Solution

The fourth proportional to 480.52, 662.84 and 332.90 is: 459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 662.84 = 332.90 : x
  2. Step 2: Convert to fraction form
    480.52/662.84 = 332.90/x
  3. Step 3: Cross multiply
    480.52x = 662.84 × 332.90
  4. Step 4: Simplify right side
    480.52x = 220,659.44
  5. Step 5: Solve for x
    x = 220,659.44/480.52
  6. Step 6: Final answer
    x = 459.21

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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.