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Finding the Fourth Proportional to 663.92, 991.54 and 565.37

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Solution

The fourth proportional to 663.92, 991.54 and 565.37 is: 844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.92 : 991.54 = 565.37 : x
  2. Step 2: Convert to fraction form
    663.92/991.54 = 565.37/x
  3. Step 3: Cross multiply
    663.92x = 991.54 × 565.37
  4. Step 4: Simplify right side
    663.92x = 560,586.97
  5. Step 5: Solve for x
    x = 560,586.97/663.92
  6. Step 6: Final answer
    x = 844.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.