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Finding the Fourth Proportional to 664.76, 994.17 and 490.34

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Solution

The fourth proportional to 664.76, 994.17 and 490.34 is: 733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.76 : 994.17 = 490.34 : x
  2. Step 2: Convert to fraction form
    664.76/994.17 = 490.34/x
  3. Step 3: Cross multiply
    664.76x = 994.17 × 490.34
  4. Step 4: Simplify right side
    664.76x = 487,481.32
  5. Step 5: Solve for x
    x = 487,481.32/664.76
  6. Step 6: Final answer
    x = 733.32

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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.