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Finding the Fourth Proportional to 680.19, 1,019.56 and 269.15

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Solution

The fourth proportional to 680.19, 1,019.56 and 269.15 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.19 : 1,019.56 = 269.15 : x
  2. Step 2: Convert to fraction form
    680.19/1,019.56 = 269.15/x
  3. Step 3: Cross multiply
    680.19x = 1,019.56 × 269.15
  4. Step 4: Simplify right side
    680.19x = 274,414.57
  5. Step 5: Solve for x
    x = 274,414.57/680.19
  6. Step 6: Final answer
    x = 403.44

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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.