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Finding the Fourth Proportional to 1,505.25, 2,257.82 and 518.73

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Solution

The fourth proportional to 1,505.25, 2,257.82 and 518.73 is: 778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.25 : 2,257.82 = 518.73 : x
  2. Step 2: Convert to fraction form
    1,505.25/2,257.82 = 518.73/x
  3. Step 3: Cross multiply
    1,505.25x = 2,257.82 × 518.73
  4. Step 4: Simplify right side
    1,505.25x = 1,171,196.37
  5. Step 5: Solve for x
    x = 1,171,196.37/1,505.25
  6. Step 6: Final answer
    x = 778.08

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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.