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Finding the Fourth Proportional to 519.12, 777.14 and 345.19

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Solution

The fourth proportional to 519.12, 777.14 and 345.19 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 777.14 = 345.19 : x
  2. Step 2: Convert to fraction form
    519.12/777.14 = 345.19/x
  3. Step 3: Cross multiply
    519.12x = 777.14 × 345.19
  4. Step 4: Simplify right side
    519.12x = 268,260.96
  5. Step 5: Solve for x
    x = 268,260.96/519.12
  6. Step 6: Final answer
    x = 516.76

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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.