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Finding the Fourth Proportional to 513.21, 773.13 and 487.74

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Solution

The fourth proportional to 513.21, 773.13 and 487.74 is: 734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.21 : 773.13 = 487.74 : x
  2. Step 2: Convert to fraction form
    513.21/773.13 = 487.74/x
  3. Step 3: Cross multiply
    513.21x = 773.13 × 487.74
  4. Step 4: Simplify right side
    513.21x = 377,086.43
  5. Step 5: Solve for x
    x = 377,086.43/513.21
  6. Step 6: Final answer
    x = 734.76

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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.