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Finding the Fourth Proportional to 980.15, 1,469.74 and 355.43

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Solution

The fourth proportional to 980.15, 1,469.74 and 355.43 is: 532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.15 : 1,469.74 = 355.43 : x
  2. Step 2: Convert to fraction form
    980.15/1,469.74 = 355.43/x
  3. Step 3: Cross multiply
    980.15x = 1,469.74 × 355.43
  4. Step 4: Simplify right side
    980.15x = 522,383.23
  5. Step 5: Solve for x
    x = 522,383.23/980.15
  6. Step 6: Final answer
    x = 532.96

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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.