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Finding the Fourth Proportional to 519.06, 778.49 and 343.77

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Solution

The fourth proportional to 519.06, 778.49 and 343.77 is: 515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.06 : 778.49 = 343.77 : x
  2. Step 2: Convert to fraction form
    519.06/778.49 = 343.77/x
  3. Step 3: Cross multiply
    519.06x = 778.49 × 343.77
  4. Step 4: Simplify right side
    519.06x = 267,621.51
  5. Step 5: Solve for x
    x = 267,621.51/519.06
  6. Step 6: Final answer
    x = 515.59

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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.