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Finding the Fourth Proportional to 516.21, 712.58 and 341.97

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Solution

The fourth proportional to 516.21, 712.58 and 341.97 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 712.58 = 341.97 : x
  2. Step 2: Convert to fraction form
    516.21/712.58 = 341.97/x
  3. Step 3: Cross multiply
    516.21x = 712.58 × 341.97
  4. Step 4: Simplify right side
    516.21x = 243,680.98
  5. Step 5: Solve for x
    x = 243,680.98/516.21
  6. Step 6: Final answer
    x = 472.06

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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.