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Finding the Fourth Proportional to 1,579.57, 2,179.88 and 880.81

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Solution

The fourth proportional to 1,579.57, 2,179.88 and 880.81 is: 1,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.57 : 2,179.88 = 880.81 : x
  2. Step 2: Convert to fraction form
    1,579.57/2,179.88 = 880.81/x
  3. Step 3: Cross multiply
    1,579.57x = 2,179.88 × 880.81
  4. Step 4: Simplify right side
    1,579.57x = 1,920,053.55
  5. Step 5: Solve for x
    x = 1,920,053.55/1,579.57
  6. Step 6: Final answer
    x = 1,215.56

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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.