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Finding the Fourth Proportional to 519.08, 777.08 and 345.15

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Solution

The fourth proportional to 519.08, 777.08 and 345.15 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.08 : 777.08 = 345.15 : x
  2. Step 2: Convert to fraction form
    519.08/777.08 = 345.15/x
  3. Step 3: Cross multiply
    519.08x = 777.08 × 345.15
  4. Step 4: Simplify right side
    519.08x = 268,209.16
  5. Step 5: Solve for x
    x = 268,209.16/519.08
  6. Step 6: Final answer
    x = 516.70

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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.