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Finding the Fourth Proportional to 513.73, 773.84 and 507.34

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Solution

The fourth proportional to 513.73, 773.84 and 507.34 is: 764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.73 : 773.84 = 507.34 : x
  2. Step 2: Convert to fraction form
    513.73/773.84 = 507.34/x
  3. Step 3: Cross multiply
    513.73x = 773.84 × 507.34
  4. Step 4: Simplify right side
    513.73x = 392,599.99
  5. Step 5: Solve for x
    x = 392,599.99/513.73
  6. Step 6: Final answer
    x = 764.21

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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.