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Finding the Fourth Proportional to 518.11, 711.79 and 463.57

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Solution

The fourth proportional to 518.11, 711.79 and 463.57 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 711.79 = 463.57 : x
  2. Step 2: Convert to fraction form
    518.11/711.79 = 463.57/x
  3. Step 3: Cross multiply
    518.11x = 711.79 × 463.57
  4. Step 4: Simplify right side
    518.11x = 329,965.65
  5. Step 5: Solve for x
    x = 329,965.65/518.11
  6. Step 6: Final answer
    x = 636.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.