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Finding the Fourth Proportional to 758.23, 1,136.31 and 682.36

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Solution

The fourth proportional to 758.23, 1,136.31 and 682.36 is: 1,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.23 : 1,136.31 = 682.36 : x
  2. Step 2: Convert to fraction form
    758.23/1,136.31 = 682.36/x
  3. Step 3: Cross multiply
    758.23x = 1,136.31 × 682.36
  4. Step 4: Simplify right side
    758.23x = 775,372.49
  5. Step 5: Solve for x
    x = 775,372.49/758.23
  6. Step 6: Final answer
    x = 1,022.61

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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.