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Finding the Fourth Proportional to 519.90, 776.81 and 427.41

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Solution

The fourth proportional to 519.90, 776.81 and 427.41 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.90 : 776.81 = 427.41 : x
  2. Step 2: Convert to fraction form
    519.90/776.81 = 427.41/x
  3. Step 3: Cross multiply
    519.90x = 776.81 × 427.41
  4. Step 4: Simplify right side
    519.90x = 332,014.23
  5. Step 5: Solve for x
    x = 332,014.23/519.90
  6. Step 6: Final answer
    x = 638.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.