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Finding the Fourth Proportional to 1,579.18, 2,179.28 and 871.05

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Solution

The fourth proportional to 1,579.18, 2,179.28 and 871.05 is: 1,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.18 : 2,179.28 = 871.05 : x
  2. Step 2: Convert to fraction form
    1,579.18/2,179.28 = 871.05/x
  3. Step 3: Cross multiply
    1,579.18x = 2,179.28 × 871.05
  4. Step 4: Simplify right side
    1,579.18x = 1,898,264.02
  5. Step 5: Solve for x
    x = 1,898,264.02/1,579.18
  6. Step 6: Final answer
    x = 1,202.06

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Why These Related Problems?

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