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Finding the Fourth Proportional to 520.72, 779.42 and 276.88

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Solution

The fourth proportional to 520.72, 779.42 and 276.88 is: 414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 779.42 = 276.88 : x
  2. Step 2: Convert to fraction form
    520.72/779.42 = 276.88/x
  3. Step 3: Cross multiply
    520.72x = 779.42 × 276.88
  4. Step 4: Simplify right side
    520.72x = 215,805.81
  5. Step 5: Solve for x
    x = 215,805.81/520.72
  6. Step 6: Final answer
    x = 414.44

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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.