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Finding the Fourth Proportional to 664.29, 997.88 and 561.78

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Solution

The fourth proportional to 664.29, 997.88 and 561.78 is: 843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 997.88 = 561.78 : x
  2. Step 2: Convert to fraction form
    664.29/997.88 = 561.78/x
  3. Step 3: Cross multiply
    664.29x = 997.88 × 561.78
  4. Step 4: Simplify right side
    664.29x = 560,586.22
  5. Step 5: Solve for x
    x = 560,586.22/664.29
  6. Step 6: Final answer
    x = 843.89

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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.