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Finding the Fourth Proportional to 519.85, 777.86 and 416.83

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Solution

The fourth proportional to 519.85, 777.86 and 416.83 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.85 : 777.86 = 416.83 : x
  2. Step 2: Convert to fraction form
    519.85/777.86 = 416.83/x
  3. Step 3: Cross multiply
    519.85x = 777.86 × 416.83
  4. Step 4: Simplify right side
    519.85x = 324,235.38
  5. Step 5: Solve for x
    x = 324,235.38/519.85
  6. Step 6: Final answer
    x = 623.71

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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.