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Finding the Fourth Proportional to 609.96, 841.17 and 516.90

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Solution

The fourth proportional to 609.96, 841.17 and 516.90 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 841.17 = 516.90 : x
  2. Step 2: Convert to fraction form
    609.96/841.17 = 516.90/x
  3. Step 3: Cross multiply
    609.96x = 841.17 × 516.90
  4. Step 4: Simplify right side
    609.96x = 434,800.77
  5. Step 5: Solve for x
    x = 434,800.77/609.96
  6. Step 6: Final answer
    x = 712.83

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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.