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Finding the Fourth Proportional to 513.69, 770.82 and 205.53

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Solution

The fourth proportional to 513.69, 770.82 and 205.53 is: 308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 770.82 = 205.53 : x
  2. Step 2: Convert to fraction form
    513.69/770.82 = 205.53/x
  3. Step 3: Cross multiply
    513.69x = 770.82 × 205.53
  4. Step 4: Simplify right side
    513.69x = 158,426.63
  5. Step 5: Solve for x
    x = 158,426.63/513.69
  6. Step 6: Final answer
    x = 308.41

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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.