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Finding the Fourth Proportional to 1,199.33, 1,654.36 and 844.63

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Solution

The fourth proportional to 1,199.33, 1,654.36 and 844.63 is: 1,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.33 : 1,654.36 = 844.63 : x
  2. Step 2: Convert to fraction form
    1,199.33/1,654.36 = 844.63/x
  3. Step 3: Cross multiply
    1,199.33x = 1,654.36 × 844.63
  4. Step 4: Simplify right side
    1,199.33x = 1,397,322.09
  5. Step 5: Solve for x
    x = 1,397,322.09/1,199.33
  6. Step 6: Final answer
    x = 1,165.09

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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.