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Finding the Fourth Proportional to 516.71, 712.79 and 341.75

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Solution

The fourth proportional to 516.71, 712.79 and 341.75 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 712.79 = 341.75 : x
  2. Step 2: Convert to fraction form
    516.71/712.79 = 341.75/x
  3. Step 3: Cross multiply
    516.71x = 712.79 × 341.75
  4. Step 4: Simplify right side
    516.71x = 243,595.98
  5. Step 5: Solve for x
    x = 243,595.98/516.71
  6. Step 6: Final answer
    x = 471.44

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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.