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Finding the Fourth Proportional to 682.17, 942.65 and 516.09

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Solution

The fourth proportional to 682.17, 942.65 and 516.09 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.17 : 942.65 = 516.09 : x
  2. Step 2: Convert to fraction form
    682.17/942.65 = 516.09/x
  3. Step 3: Cross multiply
    682.17x = 942.65 × 516.09
  4. Step 4: Simplify right side
    682.17x = 486,492.24
  5. Step 5: Solve for x
    x = 486,492.24/682.17
  6. Step 6: Final answer
    x = 713.15

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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.