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Finding the Fourth Proportional to 980, 1,352.42 and 537.90

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Solution

The fourth proportional to 980, 1,352.42 and 537.90 is: 742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,352.42 = 537.90 : x
  2. Step 2: Convert to fraction form
    980/1,352.42 = 537.90/x
  3. Step 3: Cross multiply
    980x = 1,352.42 × 537.90
  4. Step 4: Simplify right side
    980x = 727,466.72
  5. Step 5: Solve for x
    x = 727,466.72/980
  6. Step 6: Final answer
    x = 742.31

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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.