Home / 1,770.27-2,443.19-984.57

Finding the Fourth Proportional to 1,770.27, 2,443.19 and 984.57

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Solution

The fourth proportional to 1,770.27, 2,443.19 and 984.57 is: 1,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.27 : 2,443.19 = 984.57 : x
  2. Step 2: Convert to fraction form
    1,770.27/2,443.19 = 984.57/x
  3. Step 3: Cross multiply
    1,770.27x = 2,443.19 × 984.57
  4. Step 4: Simplify right side
    1,770.27x = 2,405,491.58
  5. Step 5: Solve for x
    x = 2,405,491.58/1,770.27
  6. Step 6: Final answer
    x = 1,358.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.