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Finding the Fourth Proportional to 609.26, 911.85 and 506.75

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Solution

The fourth proportional to 609.26, 911.85 and 506.75 is: 758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 911.85 = 506.75 : x
  2. Step 2: Convert to fraction form
    609.26/911.85 = 506.75/x
  3. Step 3: Cross multiply
    609.26x = 911.85 × 506.75
  4. Step 4: Simplify right side
    609.26x = 462,080.37
  5. Step 5: Solve for x
    x = 462,080.37/609.26
  6. Step 6: Final answer
    x = 758.43

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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.