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Finding the Fourth Proportional to 513.95, 768.18 and 447.55

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Solution

The fourth proportional to 513.95, 768.18 and 447.55 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.95 : 768.18 = 447.55 : x
  2. Step 2: Convert to fraction form
    513.95/768.18 = 447.55/x
  3. Step 3: Cross multiply
    513.95x = 768.18 × 447.55
  4. Step 4: Simplify right side
    513.95x = 343,795.75
  5. Step 5: Solve for x
    x = 343,795.75/513.95
  6. Step 6: Final answer
    x = 668.93

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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.