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Finding the Fourth Proportional to 513.42, 766.92 and 338.64

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Solution

The fourth proportional to 513.42, 766.92 and 338.64 is: 505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 766.92 = 338.64 : x
  2. Step 2: Convert to fraction form
    513.42/766.92 = 338.64/x
  3. Step 3: Cross multiply
    513.42x = 766.92 × 338.64
  4. Step 4: Simplify right side
    513.42x = 259,709.79
  5. Step 5: Solve for x
    x = 259,709.79/513.42
  6. Step 6: Final answer
    x = 505.84

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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.