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Finding the Fourth Proportional to 516.65, 712.91 and 351.07

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Solution

The fourth proportional to 516.65, 712.91 and 351.07 is: 484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 712.91 = 351.07 : x
  2. Step 2: Convert to fraction form
    516.65/712.91 = 351.07/x
  3. Step 3: Cross multiply
    516.65x = 712.91 × 351.07
  4. Step 4: Simplify right side
    516.65x = 250,280.41
  5. Step 5: Solve for x
    x = 250,280.41/516.65
  6. Step 6: Final answer
    x = 484.43

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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.