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Finding the Fourth Proportional to 969.20, 1,453.17 and 352.79

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Solution

The fourth proportional to 969.20, 1,453.17 and 352.79 is: 528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.20 : 1,453.17 = 352.79 : x
  2. Step 2: Convert to fraction form
    969.20/1,453.17 = 352.79/x
  3. Step 3: Cross multiply
    969.20x = 1,453.17 × 352.79
  4. Step 4: Simplify right side
    969.20x = 512,668.80
  5. Step 5: Solve for x
    x = 512,668.80/969.20
  6. Step 6: Final answer
    x = 528.96

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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.