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Finding the Fourth Proportional to 516.47, 712.61 and 306.80

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Solution

The fourth proportional to 516.47, 712.61 and 306.80 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.47 : 712.61 = 306.80 : x
  2. Step 2: Convert to fraction form
    516.47/712.61 = 306.80/x
  3. Step 3: Cross multiply
    516.47x = 712.61 × 306.80
  4. Step 4: Simplify right side
    516.47x = 218,623.65
  5. Step 5: Solve for x
    x = 218,623.65/516.47
  6. Step 6: Final answer
    x = 423.31

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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.