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Finding the Fourth Proportional to 969.91, 1,453.75 and 448.82

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Solution

The fourth proportional to 969.91, 1,453.75 and 448.82 is: 672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.91 : 1,453.75 = 448.82 : x
  2. Step 2: Convert to fraction form
    969.91/1,453.75 = 448.82/x
  3. Step 3: Cross multiply
    969.91x = 1,453.75 × 448.82
  4. Step 4: Simplify right side
    969.91x = 652,469.14
  5. Step 5: Solve for x
    x = 652,469.14/969.91
  6. Step 6: Final answer
    x = 672.71

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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.