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Finding the Fourth Proportional to 1,629.80, 2,438.58 and 969.27

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Solution

The fourth proportional to 1,629.80, 2,438.58 and 969.27 is: 1,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.80 : 2,438.58 = 969.27 : x
  2. Step 2: Convert to fraction form
    1,629.80/2,438.58 = 969.27/x
  3. Step 3: Cross multiply
    1,629.80x = 2,438.58 × 969.27
  4. Step 4: Simplify right side
    1,629.80x = 2,363,642.44
  5. Step 5: Solve for x
    x = 2,363,642.44/1,629.80
  6. Step 6: Final answer
    x = 1,450.27

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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.