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Finding the Fourth Proportional to 980.54, 1,468.17 and 517.36

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Solution

The fourth proportional to 980.54, 1,468.17 and 517.36 is: 774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.54 : 1,468.17 = 517.36 : x
  2. Step 2: Convert to fraction form
    980.54/1,468.17 = 517.36/x
  3. Step 3: Cross multiply
    980.54x = 1,468.17 × 517.36
  4. Step 4: Simplify right side
    980.54x = 759,572.43
  5. Step 5: Solve for x
    x = 759,572.43/980.54
  6. Step 6: Final answer
    x = 774.65

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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.