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Finding the Fourth Proportional to 519.56, 777.20 and 427.22

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Solution

The fourth proportional to 519.56, 777.20 and 427.22 is: 639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 777.20 = 427.22 : x
  2. Step 2: Convert to fraction form
    519.56/777.20 = 427.22/x
  3. Step 3: Cross multiply
    519.56x = 777.20 × 427.22
  4. Step 4: Simplify right side
    519.56x = 332,035.38
  5. Step 5: Solve for x
    x = 332,035.38/519.56
  6. Step 6: Final answer
    x = 639.07

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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.