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Finding the Fourth Proportional to 513.72, 765.90 and 491.94

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Solution

The fourth proportional to 513.72, 765.90 and 491.94 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.72 : 765.90 = 491.94 : x
  2. Step 2: Convert to fraction form
    513.72/765.90 = 491.94/x
  3. Step 3: Cross multiply
    513.72x = 765.90 × 491.94
  4. Step 4: Simplify right side
    513.72x = 376,776.85
  5. Step 5: Solve for x
    x = 376,776.85/513.72
  6. Step 6: Final answer
    x = 733.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.