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Finding the Fourth Proportional to 518.57, 777.74 and 343.27

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Solution

The fourth proportional to 518.57, 777.74 and 343.27 is: 514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.57 : 777.74 = 343.27 : x
  2. Step 2: Convert to fraction form
    518.57/777.74 = 343.27/x
  3. Step 3: Cross multiply
    518.57x = 777.74 × 343.27
  4. Step 4: Simplify right side
    518.57x = 266,970.92
  5. Step 5: Solve for x
    x = 266,970.92/518.57
  6. Step 6: Final answer
    x = 514.83

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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.