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Finding the Fourth Proportional to 513.78, 773.46 and 398.90

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Solution

The fourth proportional to 513.78, 773.46 and 398.90 is: 600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.78 : 773.46 = 398.90 : x
  2. Step 2: Convert to fraction form
    513.78/773.46 = 398.90/x
  3. Step 3: Cross multiply
    513.78x = 773.46 × 398.90
  4. Step 4: Simplify right side
    513.78x = 308,533.19
  5. Step 5: Solve for x
    x = 308,533.19/513.78
  6. Step 6: Final answer
    x = 600.52

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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.