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Finding the Fourth Proportional to 665.28, 997.07 and 372.78

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Solution

The fourth proportional to 665.28, 997.07 and 372.78 is: 558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.28 : 997.07 = 372.78 : x
  2. Step 2: Convert to fraction form
    665.28/997.07 = 372.78/x
  3. Step 3: Cross multiply
    665.28x = 997.07 × 372.78
  4. Step 4: Simplify right side
    665.28x = 371,685.89
  5. Step 5: Solve for x
    x = 371,685.89/665.28
  6. Step 6: Final answer
    x = 558.69

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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.