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Finding the Fourth Proportional to 766.26, 1,147.23 and 668.34

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Solution

The fourth proportional to 766.26, 1,147.23 and 668.34 is: 1,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.26 : 1,147.23 = 668.34 : x
  2. Step 2: Convert to fraction form
    766.26/1,147.23 = 668.34/x
  3. Step 3: Cross multiply
    766.26x = 1,147.23 × 668.34
  4. Step 4: Simplify right side
    766.26x = 766,739.70
  5. Step 5: Solve for x
    x = 766,739.70/766.26
  6. Step 6: Final answer
    x = 1,000.63

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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.