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Finding the Fourth Proportional to 664.80, 996.40 and 493.60

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Solution

The fourth proportional to 664.80, 996.40 and 493.60 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 996.40 = 493.60 : x
  2. Step 2: Convert to fraction form
    664.80/996.40 = 493.60/x
  3. Step 3: Cross multiply
    664.80x = 996.40 × 493.60
  4. Step 4: Simplify right side
    664.80x = 491,823.04
  5. Step 5: Solve for x
    x = 491,823.04/664.80
  6. Step 6: Final answer
    x = 739.81

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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.