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Finding the Fourth Proportional to 513.71, 770.53 and 307.82

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Solution

The fourth proportional to 513.71, 770.53 and 307.82 is: 461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 770.53 = 307.82 : x
  2. Step 2: Convert to fraction form
    513.71/770.53 = 307.82/x
  3. Step 3: Cross multiply
    513.71x = 770.53 × 307.82
  4. Step 4: Simplify right side
    513.71x = 237,185.70
  5. Step 5: Solve for x
    x = 237,185.70/513.71
  6. Step 6: Final answer
    x = 461.71

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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.