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Finding the Fourth Proportional to 1,096.11, 1,643.88 and 769.95

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Solution

The fourth proportional to 1,096.11, 1,643.88 and 769.95 is: 1,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.11 : 1,643.88 = 769.95 : x
  2. Step 2: Convert to fraction form
    1,096.11/1,643.88 = 769.95/x
  3. Step 3: Cross multiply
    1,096.11x = 1,643.88 × 769.95
  4. Step 4: Simplify right side
    1,096.11x = 1,265,705.41
  5. Step 5: Solve for x
    x = 1,265,705.41/1,096.11
  6. Step 6: Final answer
    x = 1,154.72

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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.