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Finding the Fourth Proportional to 664.91, 997.40 and 253.97

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Solution

The fourth proportional to 664.91, 997.40 and 253.97 is: 380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.91 : 997.40 = 253.97 : x
  2. Step 2: Convert to fraction form
    664.91/997.40 = 253.97/x
  3. Step 3: Cross multiply
    664.91x = 997.40 × 253.97
  4. Step 4: Simplify right side
    664.91x = 253,312.81
  5. Step 5: Solve for x
    x = 253,312.81/664.91
  6. Step 6: Final answer
    x = 380.97

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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.