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Finding the Fourth Proportional to 665.97, 997.42 and 319.54

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Solution

The fourth proportional to 665.97, 997.42 and 319.54 is: 478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.97 : 997.42 = 319.54 : x
  2. Step 2: Convert to fraction form
    665.97/997.42 = 319.54/x
  3. Step 3: Cross multiply
    665.97x = 997.42 × 319.54
  4. Step 4: Simplify right side
    665.97x = 318,715.59
  5. Step 5: Solve for x
    x = 318,715.59/665.97
  6. Step 6: Final answer
    x = 478.57

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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.