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Finding the Fourth Proportional to 982.56, 1,357.20 and 853.92

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Solution

The fourth proportional to 982.56, 1,357.20 and 853.92 is: 1,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.56 : 1,357.20 = 853.92 : x
  2. Step 2: Convert to fraction form
    982.56/1,357.20 = 853.92/x
  3. Step 3: Cross multiply
    982.56x = 1,357.20 × 853.92
  4. Step 4: Simplify right side
    982.56x = 1,158,940.22
  5. Step 5: Solve for x
    x = 1,158,940.22/982.56
  6. Step 6: Final answer
    x = 1,179.51

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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.