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Finding the Fourth Proportional to 2,218.73, 3,328.29 and 575.24

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Solution

The fourth proportional to 2,218.73, 3,328.29 and 575.24 is: 862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.73 : 3,328.29 = 575.24 : x
  2. Step 2: Convert to fraction form
    2,218.73/3,328.29 = 575.24/x
  3. Step 3: Cross multiply
    2,218.73x = 3,328.29 × 575.24
  4. Step 4: Simplify right side
    2,218.73x = 1,914,548.90
  5. Step 5: Solve for x
    x = 1,914,548.90/2,218.73
  6. Step 6: Final answer
    x = 862.91

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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.