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Finding the Fourth Proportional to 664.89, 997.38 and 177.93

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Solution

The fourth proportional to 664.89, 997.38 and 177.93 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.89 : 997.38 = 177.93 : x
  2. Step 2: Convert to fraction form
    664.89/997.38 = 177.93/x
  3. Step 3: Cross multiply
    664.89x = 997.38 × 177.93
  4. Step 4: Simplify right side
    664.89x = 177,463.82
  5. Step 5: Solve for x
    x = 177,463.82/664.89
  6. Step 6: Final answer
    x = 266.91

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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.