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Finding the Fourth Proportional to 980.52, 1,353.09 and 538.38

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Solution

The fourth proportional to 980.52, 1,353.09 and 538.38 is: 742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.52 : 1,353.09 = 538.38 : x
  2. Step 2: Convert to fraction form
    980.52/1,353.09 = 538.38/x
  3. Step 3: Cross multiply
    980.52x = 1,353.09 × 538.38
  4. Step 4: Simplify right side
    980.52x = 728,476.59
  5. Step 5: Solve for x
    x = 728,476.59/980.52
  6. Step 6: Final answer
    x = 742.95

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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.