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Finding the Fourth Proportional to 1,442.73, 2,164.31 and 518.09

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Solution

The fourth proportional to 1,442.73, 2,164.31 and 518.09 is: 777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.73 : 2,164.31 = 518.09 : x
  2. Step 2: Convert to fraction form
    1,442.73/2,164.31 = 518.09/x
  3. Step 3: Cross multiply
    1,442.73x = 2,164.31 × 518.09
  4. Step 4: Simplify right side
    1,442.73x = 1,121,293.96
  5. Step 5: Solve for x
    x = 1,121,293.96/1,442.73
  6. Step 6: Final answer
    x = 777.20

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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.