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Finding the Fourth Proportional to 665.88, 997.97 and 583.43

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Solution

The fourth proportional to 665.88, 997.97 and 583.43 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.88 : 997.97 = 583.43 : x
  2. Step 2: Convert to fraction form
    665.88/997.97 = 583.43/x
  3. Step 3: Cross multiply
    665.88x = 997.97 × 583.43
  4. Step 4: Simplify right side
    665.88x = 582,237.73
  5. Step 5: Solve for x
    x = 582,237.73/665.88
  6. Step 6: Final answer
    x = 874.39

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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.