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Finding the Fourth Proportional to 1,579.79, 2,180 and 871.59

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Solution

The fourth proportional to 1,579.79, 2,180 and 871.59 is: 1,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.79 : 2,180 = 871.59 : x
  2. Step 2: Convert to fraction form
    1,579.79/2,180 = 871.59/x
  3. Step 3: Cross multiply
    1,579.79x = 2,180 × 871.59
  4. Step 4: Simplify right side
    1,579.79x = 1,900,066.20
  5. Step 5: Solve for x
    x = 1,900,066.20/1,579.79
  6. Step 6: Final answer
    x = 1,202.73

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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.