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Finding the Fourth Proportional to 1,396.25, 2,091.64 and 957.43

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Solution

The fourth proportional to 1,396.25, 2,091.64 and 957.43 is: 1,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.25 : 2,091.64 = 957.43 : x
  2. Step 2: Convert to fraction form
    1,396.25/2,091.64 = 957.43/x
  3. Step 3: Cross multiply
    1,396.25x = 2,091.64 × 957.43
  4. Step 4: Simplify right side
    1,396.25x = 2,002,594.10
  5. Step 5: Solve for x
    x = 2,002,594.10/1,396.25
  6. Step 6: Final answer
    x = 1,434.27

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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.