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Finding the Fourth Proportional to 516.92, 711.23 and 446.75

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Solution

The fourth proportional to 516.92, 711.23 and 446.75 is: 614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 711.23 = 446.75 : x
  2. Step 2: Convert to fraction form
    516.92/711.23 = 446.75/x
  3. Step 3: Cross multiply
    516.92x = 711.23 × 446.75
  4. Step 4: Simplify right side
    516.92x = 317,742.00
  5. Step 5: Solve for x
    x = 317,742.00/516.92
  6. Step 6: Final answer
    x = 614.68

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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.