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Finding the Fourth Proportional to 664.02, 997.38 and 561.49

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Solution

The fourth proportional to 664.02, 997.38 and 561.49 is: 843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.02 : 997.38 = 561.49 : x
  2. Step 2: Convert to fraction form
    664.02/997.38 = 561.49/x
  3. Step 3: Cross multiply
    664.02x = 997.38 × 561.49
  4. Step 4: Simplify right side
    664.02x = 560,016.40
  5. Step 5: Solve for x
    x = 560,016.40/664.02
  6. Step 6: Final answer
    x = 843.37

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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.