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Finding the Fourth Proportional to 520.08, 778.56 and 485.88

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Solution

The fourth proportional to 520.08, 778.56 and 485.88 is: 727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.08 : 778.56 = 485.88 : x
  2. Step 2: Convert to fraction form
    520.08/778.56 = 485.88/x
  3. Step 3: Cross multiply
    520.08x = 778.56 × 485.88
  4. Step 4: Simplify right side
    520.08x = 378,286.73
  5. Step 5: Solve for x
    x = 378,286.73/520.08
  6. Step 6: Final answer
    x = 727.36

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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.