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Finding the Fourth Proportional to 980.37, 1,352.90 and 538.27

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Solution

The fourth proportional to 980.37, 1,352.90 and 538.27 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.37 : 1,352.90 = 538.27 : x
  2. Step 2: Convert to fraction form
    980.37/1,352.90 = 538.27/x
  3. Step 3: Cross multiply
    980.37x = 1,352.90 × 538.27
  4. Step 4: Simplify right side
    980.37x = 728,223.45
  5. Step 5: Solve for x
    x = 728,223.45/980.37
  6. Step 6: Final answer
    x = 742.80

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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.