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Finding the Fourth Proportional to 2,069.65, 3,102.63 and 770.23

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Solution

The fourth proportional to 2,069.65, 3,102.63 and 770.23 is: 1,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.65 : 3,102.63 = 770.23 : x
  2. Step 2: Convert to fraction form
    2,069.65/3,102.63 = 770.23/x
  3. Step 3: Cross multiply
    2,069.65x = 3,102.63 × 770.23
  4. Step 4: Simplify right side
    2,069.65x = 2,389,738.70
  5. Step 5: Solve for x
    x = 2,389,738.70/2,069.65
  6. Step 6: Final answer
    x = 1,154.66

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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.