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Finding the Fourth Proportional to 665.86, 997.38 and 504.52

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Solution

The fourth proportional to 665.86, 997.38 and 504.52 is: 755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 997.38 = 504.52 : x
  2. Step 2: Convert to fraction form
    665.86/997.38 = 504.52/x
  3. Step 3: Cross multiply
    665.86x = 997.38 × 504.52
  4. Step 4: Simplify right side
    665.86x = 503,198.16
  5. Step 5: Solve for x
    x = 503,198.16/665.86
  6. Step 6: Final answer
    x = 755.71

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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.