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Finding the Fourth Proportional to 513.81, 770.81 and 308.39

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Solution

The fourth proportional to 513.81, 770.81 and 308.39 is: 462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 770.81 = 308.39 : x
  2. Step 2: Convert to fraction form
    513.81/770.81 = 308.39/x
  3. Step 3: Cross multiply
    513.81x = 770.81 × 308.39
  4. Step 4: Simplify right side
    513.81x = 237,704.70
  5. Step 5: Solve for x
    x = 237,704.70/513.81
  6. Step 6: Final answer
    x = 462.63

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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.