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Finding the Fourth Proportional to 853.12, 1,185.47 and 844.21

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Solution

The fourth proportional to 853.12, 1,185.47 and 844.21 is: 1,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.12 : 1,185.47 = 844.21 : x
  2. Step 2: Convert to fraction form
    853.12/1,185.47 = 844.21/x
  3. Step 3: Cross multiply
    853.12x = 1,185.47 × 844.21
  4. Step 4: Simplify right side
    853.12x = 1,000,785.63
  5. Step 5: Solve for x
    x = 1,000,785.63/853.12
  6. Step 6: Final answer
    x = 1,173.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.