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Finding the Fourth Proportional to 980.91, 1,469.95 and 494.10

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Solution

The fourth proportional to 980.91, 1,469.95 and 494.10 is: 740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.91 : 1,469.95 = 494.10 : x
  2. Step 2: Convert to fraction form
    980.91/1,469.95 = 494.10/x
  3. Step 3: Cross multiply
    980.91x = 1,469.95 × 494.10
  4. Step 4: Simplify right side
    980.91x = 726,301.06
  5. Step 5: Solve for x
    x = 726,301.06/980.91
  6. Step 6: Final answer
    x = 740.44

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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.