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Finding the Fourth Proportional to 520.20, 779.38 and 442.44

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Solution

The fourth proportional to 520.20, 779.38 and 442.44 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 779.38 = 442.44 : x
  2. Step 2: Convert to fraction form
    520.20/779.38 = 442.44/x
  3. Step 3: Cross multiply
    520.20x = 779.38 × 442.44
  4. Step 4: Simplify right side
    520.20x = 344,828.89
  5. Step 5: Solve for x
    x = 344,828.89/520.20
  6. Step 6: Final answer
    x = 662.88

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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.