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Finding the Fourth Proportional to 664.20, 997.56 and 520.92

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Solution

The fourth proportional to 664.20, 997.56 and 520.92 is: 782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 997.56 = 520.92 : x
  2. Step 2: Convert to fraction form
    664.20/997.56 = 520.92/x
  3. Step 3: Cross multiply
    664.20x = 997.56 × 520.92
  4. Step 4: Simplify right side
    664.20x = 519,648.96
  5. Step 5: Solve for x
    x = 519,648.96/664.20
  6. Step 6: Final answer
    x = 782.37

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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.