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Finding the Fourth Proportional to 980.63, 1,469.41 and 517.01

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Solution

The fourth proportional to 980.63, 1,469.41 and 517.01 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.63 : 1,469.41 = 517.01 : x
  2. Step 2: Convert to fraction form
    980.63/1,469.41 = 517.01/x
  3. Step 3: Cross multiply
    980.63x = 1,469.41 × 517.01
  4. Step 4: Simplify right side
    980.63x = 759,691.02
  5. Step 5: Solve for x
    x = 759,691.02/980.63
  6. Step 6: Final answer
    x = 774.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.