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Finding the Fourth Proportional to 609.72, 843.39 and 511.17

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Solution

The fourth proportional to 609.72, 843.39 and 511.17 is: 707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 843.39 = 511.17 : x
  2. Step 2: Convert to fraction form
    609.72/843.39 = 511.17/x
  3. Step 3: Cross multiply
    609.72x = 843.39 × 511.17
  4. Step 4: Simplify right side
    609.72x = 431,115.67
  5. Step 5: Solve for x
    x = 431,115.67/609.72
  6. Step 6: Final answer
    x = 707.07

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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.