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Finding the Fourth Proportional to 2,219.32, 3,328.97 and 575.73

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Solution

The fourth proportional to 2,219.32, 3,328.97 and 575.73 is: 863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.32 : 3,328.97 = 575.73 : x
  2. Step 2: Convert to fraction form
    2,219.32/3,328.97 = 575.73/x
  3. Step 3: Cross multiply
    2,219.32x = 3,328.97 × 575.73
  4. Step 4: Simplify right side
    2,219.32x = 1,916,587.90
  5. Step 5: Solve for x
    x = 1,916,587.90/2,219.32
  6. Step 6: Final answer
    x = 863.59

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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.