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Finding the Fourth Proportional to 980.33, 1,470.62 and 330.91

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Solution

The fourth proportional to 980.33, 1,470.62 and 330.91 is: 496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.33 : 1,470.62 = 330.91 : x
  2. Step 2: Convert to fraction form
    980.33/1,470.62 = 330.91/x
  3. Step 3: Cross multiply
    980.33x = 1,470.62 × 330.91
  4. Step 4: Simplify right side
    980.33x = 486,640.01
  5. Step 5: Solve for x
    x = 486,640.01/980.33
  6. Step 6: Final answer
    x = 496.41

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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.