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Finding the Fourth Proportional to 516.71, 776.10 and 308.88

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Solution

The fourth proportional to 516.71, 776.10 and 308.88 is: 463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.71 : 776.10 = 308.88 : x
  2. Step 2: Convert to fraction form
    516.71/776.10 = 308.88/x
  3. Step 3: Cross multiply
    516.71x = 776.10 × 308.88
  4. Step 4: Simplify right side
    516.71x = 239,721.19
  5. Step 5: Solve for x
    x = 239,721.19/516.71
  6. Step 6: Final answer
    x = 463.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.