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Finding the Fourth Proportional to 1,579.54, 2,179.82 and 871.40

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Solution

The fourth proportional to 1,579.54, 2,179.82 and 871.40 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.54 : 2,179.82 = 871.40 : x
  2. Step 2: Convert to fraction form
    1,579.54/2,179.82 = 871.40/x
  3. Step 3: Cross multiply
    1,579.54x = 2,179.82 × 871.40
  4. Step 4: Simplify right side
    1,579.54x = 1,899,495.15
  5. Step 5: Solve for x
    x = 1,899,495.15/1,579.54
  6. Step 6: Final answer
    x = 1,202.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.