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Finding the Fourth Proportional to 3,077.81, 4,616.69 and 769.31

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Solution

The fourth proportional to 3,077.81, 4,616.69 and 769.31 is: 1,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.81 : 4,616.69 = 769.31 : x
  2. Step 2: Convert to fraction form
    3,077.81/4,616.69 = 769.31/x
  3. Step 3: Cross multiply
    3,077.81x = 4,616.69 × 769.31
  4. Step 4: Simplify right side
    3,077.81x = 3,551,661.94
  5. Step 5: Solve for x
    x = 3,551,661.94/3,077.81
  6. Step 6: Final answer
    x = 1,153.96

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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.