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Finding the Fourth Proportional to 905.92, 1,249.32 and 644.80

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Solution

The fourth proportional to 905.92, 1,249.32 and 644.80 is: 889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.92 : 1,249.32 = 644.80 : x
  2. Step 2: Convert to fraction form
    905.92/1,249.32 = 644.80/x
  3. Step 3: Cross multiply
    905.92x = 1,249.32 × 644.80
  4. Step 4: Simplify right side
    905.92x = 805,561.54
  5. Step 5: Solve for x
    x = 805,561.54/905.92
  6. Step 6: Final answer
    x = 889.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.