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Finding the Fourth Proportional to 2,224.80, 3,335.88 and 763.92

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Solution

The fourth proportional to 2,224.80, 3,335.88 and 763.92 is: 1,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.80 : 3,335.88 = 763.92 : x
  2. Step 2: Convert to fraction form
    2,224.80/3,335.88 = 763.92/x
  3. Step 3: Cross multiply
    2,224.80x = 3,335.88 × 763.92
  4. Step 4: Simplify right side
    2,224.80x = 2,548,345.45
  5. Step 5: Solve for x
    x = 2,548,345.45/2,224.80
  6. Step 6: Final answer
    x = 1,145.43

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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.