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Finding the Fourth Proportional to 664.20, 993.36 and 591.60

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Solution

The fourth proportional to 664.20, 993.36 and 591.60 is: 884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 993.36 = 591.60 : x
  2. Step 2: Convert to fraction form
    664.20/993.36 = 591.60/x
  3. Step 3: Cross multiply
    664.20x = 993.36 × 591.60
  4. Step 4: Simplify right side
    664.20x = 587,677.72
  5. Step 5: Solve for x
    x = 587,677.72/664.20
  6. Step 6: Final answer
    x = 884.79

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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.