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Finding the Fourth Proportional to 969.17, 1,453.85 and 482.09

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Solution

The fourth proportional to 969.17, 1,453.85 and 482.09 is: 723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.17 : 1,453.85 = 482.09 : x
  2. Step 2: Convert to fraction form
    969.17/1,453.85 = 482.09/x
  3. Step 3: Cross multiply
    969.17x = 1,453.85 × 482.09
  4. Step 4: Simplify right side
    969.17x = 700,876.87
  5. Step 5: Solve for x
    x = 700,876.87/969.17
  6. Step 6: Final answer
    x = 723.18

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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.