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Finding the Fourth Proportional to 3,002.88, 4,504.49 and 811.79

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Solution

The fourth proportional to 3,002.88, 4,504.49 and 811.79 is: 1,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.88 : 4,504.49 = 811.79 : x
  2. Step 2: Convert to fraction form
    3,002.88/4,504.49 = 811.79/x
  3. Step 3: Cross multiply
    3,002.88x = 4,504.49 × 811.79
  4. Step 4: Simplify right side
    3,002.88x = 3,656,679.44
  5. Step 5: Solve for x
    x = 3,656,679.44/3,002.88
  6. Step 6: Final answer
    x = 1,217.72

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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.