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Finding the Fourth Proportional to 520.09, 779.91 and 231.32

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Solution

The fourth proportional to 520.09, 779.91 and 231.32 is: 346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 779.91 = 231.32 : x
  2. Step 2: Convert to fraction form
    520.09/779.91 = 231.32/x
  3. Step 3: Cross multiply
    520.09x = 779.91 × 231.32
  4. Step 4: Simplify right side
    520.09x = 180,408.78
  5. Step 5: Solve for x
    x = 180,408.78/520.09
  6. Step 6: Final answer
    x = 346.88

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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.