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Finding the Fourth Proportional to 1,103.87, 1,523.07 and 808.63

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Solution

The fourth proportional to 1,103.87, 1,523.07 and 808.63 is: 1,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.87 : 1,523.07 = 808.63 : x
  2. Step 2: Convert to fraction form
    1,103.87/1,523.07 = 808.63/x
  3. Step 3: Cross multiply
    1,103.87x = 1,523.07 × 808.63
  4. Step 4: Simplify right side
    1,103.87x = 1,231,600.09
  5. Step 5: Solve for x
    x = 1,231,600.09/1,103.87
  6. Step 6: Final answer
    x = 1,115.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.