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Finding the Fourth Proportional to 1,469.13, 2,203.96 and 699.63

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Solution

The fourth proportional to 1,469.13, 2,203.96 and 699.63 is: 1,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.13 : 2,203.96 = 699.63 : x
  2. Step 2: Convert to fraction form
    1,469.13/2,203.96 = 699.63/x
  3. Step 3: Cross multiply
    1,469.13x = 2,203.96 × 699.63
  4. Step 4: Simplify right side
    1,469.13x = 1,541,956.53
  5. Step 5: Solve for x
    x = 1,541,956.53/1,469.13
  6. Step 6: Final answer
    x = 1,049.57

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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.