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Finding the Fourth Proportional to 513.14, 772.54 and 351.88

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Solution

The fourth proportional to 513.14, 772.54 and 351.88 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 772.54 = 351.88 : x
  2. Step 2: Convert to fraction form
    513.14/772.54 = 351.88/x
  3. Step 3: Cross multiply
    513.14x = 772.54 × 351.88
  4. Step 4: Simplify right side
    513.14x = 271,838.56
  5. Step 5: Solve for x
    x = 271,838.56/513.14
  6. Step 6: Final answer
    x = 529.76

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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.