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Finding the Fourth Proportional to 843.99, 1,268.28 and 788.63

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Solution

The fourth proportional to 843.99, 1,268.28 and 788.63 is: 1,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.99 : 1,268.28 = 788.63 : x
  2. Step 2: Convert to fraction form
    843.99/1,268.28 = 788.63/x
  3. Step 3: Cross multiply
    843.99x = 1,268.28 × 788.63
  4. Step 4: Simplify right side
    843.99x = 1,000,197.32
  5. Step 5: Solve for x
    x = 1,000,197.32/843.99
  6. Step 6: Final answer
    x = 1,185.09

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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.