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Finding the Fourth Proportional to 516.08, 774.36 and 310.76

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Solution

The fourth proportional to 516.08, 774.36 and 310.76 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 774.36 = 310.76 : x
  2. Step 2: Convert to fraction form
    516.08/774.36 = 310.76/x
  3. Step 3: Cross multiply
    516.08x = 774.36 × 310.76
  4. Step 4: Simplify right side
    516.08x = 240,640.11
  5. Step 5: Solve for x
    x = 240,640.11/516.08
  6. Step 6: Final answer
    x = 466.28

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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.