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Finding the Fourth Proportional to 513.94, 765.96 and 513.14

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Solution

The fourth proportional to 513.94, 765.96 and 513.14 is: 764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 765.96 = 513.14 : x
  2. Step 2: Convert to fraction form
    513.94/765.96 = 513.14/x
  3. Step 3: Cross multiply
    513.94x = 765.96 × 513.14
  4. Step 4: Simplify right side
    513.94x = 393,044.71
  5. Step 5: Solve for x
    x = 393,044.71/513.94
  6. Step 6: Final answer
    x = 764.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.