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Finding the Fourth Proportional to 980.56, 1,352.15 and 731.48

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Solution

The fourth proportional to 980.56, 1,352.15 and 731.48 is: 1,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.56 : 1,352.15 = 731.48 : x
  2. Step 2: Convert to fraction form
    980.56/1,352.15 = 731.48/x
  3. Step 3: Cross multiply
    980.56x = 1,352.15 × 731.48
  4. Step 4: Simplify right side
    980.56x = 989,070.40
  5. Step 5: Solve for x
    x = 989,070.40/980.56
  6. Step 6: Final answer
    x = 1,008.68

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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.