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Finding the Fourth Proportional to 520.09, 779.36 and 276.77

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Solution

The fourth proportional to 520.09, 779.36 and 276.77 is: 414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 779.36 = 276.77 : x
  2. Step 2: Convert to fraction form
    520.09/779.36 = 276.77/x
  3. Step 3: Cross multiply
    520.09x = 779.36 × 276.77
  4. Step 4: Simplify right side
    520.09x = 215,704.03
  5. Step 5: Solve for x
    x = 215,704.03/520.09
  6. Step 6: Final answer
    x = 414.75

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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.