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Finding the Fourth Proportional to 905.43, 1,355.06 and 759.34

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Solution

The fourth proportional to 905.43, 1,355.06 and 759.34 is: 1,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.43 : 1,355.06 = 759.34 : x
  2. Step 2: Convert to fraction form
    905.43/1,355.06 = 759.34/x
  3. Step 3: Cross multiply
    905.43x = 1,355.06 × 759.34
  4. Step 4: Simplify right side
    905.43x = 1,028,951.26
  5. Step 5: Solve for x
    x = 1,028,951.26/905.43
  6. Step 6: Final answer
    x = 1,136.42

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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.