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Finding the Fourth Proportional to 969.67, 1,448.60 and 620.21

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Solution

The fourth proportional to 969.67, 1,448.60 and 620.21 is: 926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.67 : 1,448.60 = 620.21 : x
  2. Step 2: Convert to fraction form
    969.67/1,448.60 = 620.21/x
  3. Step 3: Cross multiply
    969.67x = 1,448.60 × 620.21
  4. Step 4: Simplify right side
    969.67x = 898,426.64
  5. Step 5: Solve for x
    x = 898,426.64/969.67
  6. Step 6: Final answer
    x = 926.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.