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Finding the Fourth Proportional to 664.53, 998.60 and 482.28

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Solution

The fourth proportional to 664.53, 998.60 and 482.28 is: 724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 998.60 = 482.28 : x
  2. Step 2: Convert to fraction form
    664.53/998.60 = 482.28/x
  3. Step 3: Cross multiply
    664.53x = 998.60 × 482.28
  4. Step 4: Simplify right side
    664.53x = 481,602.40
  5. Step 5: Solve for x
    x = 481,602.40/664.53
  6. Step 6: Final answer
    x = 724.73

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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.