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Finding the Fourth Proportional to 980.16, 1,352.73 and 560.57

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Solution

The fourth proportional to 980.16, 1,352.73 and 560.57 is: 773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.16 : 1,352.73 = 560.57 : x
  2. Step 2: Convert to fraction form
    980.16/1,352.73 = 560.57/x
  3. Step 3: Cross multiply
    980.16x = 1,352.73 × 560.57
  4. Step 4: Simplify right side
    980.16x = 758,293.09
  5. Step 5: Solve for x
    x = 758,293.09/980.16
  6. Step 6: Final answer
    x = 773.64

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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.