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Finding the Fourth Proportional to 3,005, 4,507.56 and 813.92

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Solution

The fourth proportional to 3,005, 4,507.56 and 813.92 is: 1,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005 : 4,507.56 = 813.92 : x
  2. Step 2: Convert to fraction form
    3,005/4,507.56 = 813.92/x
  3. Step 3: Cross multiply
    3,005x = 4,507.56 × 813.92
  4. Step 4: Simplify right side
    3,005x = 3,668,793.24
  5. Step 5: Solve for x
    x = 3,668,793.24/3,005
  6. Step 6: Final answer
    x = 1,220.90

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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.