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Finding the Fourth Proportional to 518.81, 778.12 and 343.52

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Solution

The fourth proportional to 518.81, 778.12 and 343.52 is: 515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.81 : 778.12 = 343.52 : x
  2. Step 2: Convert to fraction form
    518.81/778.12 = 343.52/x
  3. Step 3: Cross multiply
    518.81x = 778.12 × 343.52
  4. Step 4: Simplify right side
    518.81x = 267,295.03
  5. Step 5: Solve for x
    x = 267,295.03/518.81
  6. Step 6: Final answer
    x = 515.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.