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Finding the Fourth Proportional to 969.40, 1,454.34 and 681.40

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Solution

The fourth proportional to 969.40, 1,454.34 and 681.40 is: 1,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.40 : 1,454.34 = 681.40 : x
  2. Step 2: Convert to fraction form
    969.40/1,454.34 = 681.40/x
  3. Step 3: Cross multiply
    969.40x = 1,454.34 × 681.40
  4. Step 4: Simplify right side
    969.40x = 990,987.28
  5. Step 5: Solve for x
    x = 990,987.28/969.40
  6. Step 6: Final answer
    x = 1,022.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.