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Finding the Fourth Proportional to 664.00, 994.88 and 490.73

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Solution

The fourth proportional to 664.00, 994.88 and 490.73 is: 735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.00 : 994.88 = 490.73 : x
  2. Step 2: Convert to fraction form
    664.00/994.88 = 490.73/x
  3. Step 3: Cross multiply
    664.00x = 994.88 × 490.73
  4. Step 4: Simplify right side
    664.00x = 488,213.71
  5. Step 5: Solve for x
    x = 488,213.71/664.00
  6. Step 6: Final answer
    x = 735.26

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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.