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Finding the Fourth Proportional to 905.50, 1,249.60 and 629.66

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Solution

The fourth proportional to 905.50, 1,249.60 and 629.66 is: 868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.50 : 1,249.60 = 629.66 : x
  2. Step 2: Convert to fraction form
    905.50/1,249.60 = 629.66/x
  3. Step 3: Cross multiply
    905.50x = 1,249.60 × 629.66
  4. Step 4: Simplify right side
    905.50x = 786,823.14
  5. Step 5: Solve for x
    x = 786,823.14/905.50
  6. Step 6: Final answer
    x = 868.94

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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.