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Finding the Fourth Proportional to 899.22, 1,238.40 and 843.66

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Solution

The fourth proportional to 899.22, 1,238.40 and 843.66 is: 1,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.22 : 1,238.40 = 843.66 : x
  2. Step 2: Convert to fraction form
    899.22/1,238.40 = 843.66/x
  3. Step 3: Cross multiply
    899.22x = 1,238.40 × 843.66
  4. Step 4: Simplify right side
    899.22x = 1,044,788.54
  5. Step 5: Solve for x
    x = 1,044,788.54/899.22
  6. Step 6: Final answer
    x = 1,161.88

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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.