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Finding the Fourth Proportional to 609.96, 843.72 and 511.56

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Solution

The fourth proportional to 609.96, 843.72 and 511.56 is: 707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 843.72 = 511.56 : x
  2. Step 2: Convert to fraction form
    609.96/843.72 = 511.56/x
  3. Step 3: Cross multiply
    609.96x = 843.72 × 511.56
  4. Step 4: Simplify right side
    609.96x = 431,613.40
  5. Step 5: Solve for x
    x = 431,613.40/609.96
  6. Step 6: Final answer
    x = 707.61

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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.