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Finding the Fourth Proportional to 516.88, 774.70 and 308.35

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Solution

The fourth proportional to 516.88, 774.70 and 308.35 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 774.70 = 308.35 : x
  2. Step 2: Convert to fraction form
    516.88/774.70 = 308.35/x
  3. Step 3: Cross multiply
    516.88x = 774.70 × 308.35
  4. Step 4: Simplify right side
    516.88x = 238,878.75
  5. Step 5: Solve for x
    x = 238,878.75/516.88
  6. Step 6: Final answer
    x = 462.16

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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.