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Finding the Fourth Proportional to 516.56, 712.64 and 306.72

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Solution

The fourth proportional to 516.56, 712.64 and 306.72 is: 423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 712.64 = 306.72 : x
  2. Step 2: Convert to fraction form
    516.56/712.64 = 306.72/x
  3. Step 3: Cross multiply
    516.56x = 712.64 × 306.72
  4. Step 4: Simplify right side
    516.56x = 218,580.94
  5. Step 5: Solve for x
    x = 218,580.94/516.56
  6. Step 6: Final answer
    x = 423.15

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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.