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Finding the Fourth Proportional to 980.02, 1,352.40 and 560.39

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Solution

The fourth proportional to 980.02, 1,352.40 and 560.39 is: 773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.02 : 1,352.40 = 560.39 : x
  2. Step 2: Convert to fraction form
    980.02/1,352.40 = 560.39/x
  3. Step 3: Cross multiply
    980.02x = 1,352.40 × 560.39
  4. Step 4: Simplify right side
    980.02x = 757,871.44
  5. Step 5: Solve for x
    x = 757,871.44/980.02
  6. Step 6: Final answer
    x = 773.33

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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.