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Finding the Fourth Proportional to 980.84, 1,352.22 and 832.88

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Solution

The fourth proportional to 980.84, 1,352.22 and 832.88 is: 1,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.84 : 1,352.22 = 832.88 : x
  2. Step 2: Convert to fraction form
    980.84/1,352.22 = 832.88/x
  3. Step 3: Cross multiply
    980.84x = 1,352.22 × 832.88
  4. Step 4: Simplify right side
    980.84x = 1,126,236.99
  5. Step 5: Solve for x
    x = 1,126,236.99/980.84
  6. Step 6: Final answer
    x = 1,148.24

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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.