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Finding the Fourth Proportional to 513.92, 773.63 and 461

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Solution

The fourth proportional to 513.92, 773.63 and 461 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 773.63 = 461 : x
  2. Step 2: Convert to fraction form
    513.92/773.63 = 461/x
  3. Step 3: Cross multiply
    513.92x = 773.63 × 461
  4. Step 4: Simplify right side
    513.92x = 356,643.43
  5. Step 5: Solve for x
    x = 356,643.43/513.92
  6. Step 6: Final answer
    x = 693.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.