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Finding the Fourth Proportional to 980.56, 1,353.11 and 538.36

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Solution

The fourth proportional to 980.56, 1,353.11 and 538.36 is: 742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.56 : 1,353.11 = 538.36 : x
  2. Step 2: Convert to fraction form
    980.56/1,353.11 = 538.36/x
  3. Step 3: Cross multiply
    980.56x = 1,353.11 × 538.36
  4. Step 4: Simplify right side
    980.56x = 728,461.84
  5. Step 5: Solve for x
    x = 728,461.84/980.56
  6. Step 6: Final answer
    x = 742.91

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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.