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Finding the Fourth Proportional to 980.25, 1,352.74 and 538.15

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Solution

The fourth proportional to 980.25, 1,352.74 and 538.15 is: 742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.25 : 1,352.74 = 538.15 : x
  2. Step 2: Convert to fraction form
    980.25/1,352.74 = 538.15/x
  3. Step 3: Cross multiply
    980.25x = 1,352.74 × 538.15
  4. Step 4: Simplify right side
    980.25x = 727,977.03
  5. Step 5: Solve for x
    x = 727,977.03/980.25
  6. Step 6: Final answer
    x = 742.64

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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.