Home / 1,463.05-2,194.42-769.44

Finding the Fourth Proportional to 1,463.05, 2,194.42 and 769.44

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Solution

The fourth proportional to 1,463.05, 2,194.42 and 769.44 is: 1,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.05 : 2,194.42 = 769.44 : x
  2. Step 2: Convert to fraction form
    1,463.05/2,194.42 = 769.44/x
  3. Step 3: Cross multiply
    1,463.05x = 2,194.42 × 769.44
  4. Step 4: Simplify right side
    1,463.05x = 1,688,474.52
  5. Step 5: Solve for x
    x = 1,688,474.52/1,463.05
  6. Step 6: Final answer
    x = 1,154.08

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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.