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Finding the Fourth Proportional to 769.36, 1,152.60 and 682.96

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Solution

The fourth proportional to 769.36, 1,152.60 and 682.96 is: 1,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.36 : 1,152.60 = 682.96 : x
  2. Step 2: Convert to fraction form
    769.36/1,152.60 = 682.96/x
  3. Step 3: Cross multiply
    769.36x = 1,152.60 × 682.96
  4. Step 4: Simplify right side
    769.36x = 787,179.70
  5. Step 5: Solve for x
    x = 787,179.70/769.36
  6. Step 6: Final answer
    x = 1,023.16

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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.