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Finding the Fourth Proportional to 519.23, 777.24 and 445.42

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Solution

The fourth proportional to 519.23, 777.24 and 445.42 is: 666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.23 : 777.24 = 445.42 : x
  2. Step 2: Convert to fraction form
    519.23/777.24 = 445.42/x
  3. Step 3: Cross multiply
    519.23x = 777.24 × 445.42
  4. Step 4: Simplify right side
    519.23x = 346,198.24
  5. Step 5: Solve for x
    x = 346,198.24/519.23
  6. Step 6: Final answer
    x = 666.75

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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.