Home / 1,683.70-2,322.57-984.94

Finding the Fourth Proportional to 1,683.70, 2,322.57 and 984.94

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Solution

The fourth proportional to 1,683.70, 2,322.57 and 984.94 is: 1,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.70 : 2,322.57 = 984.94 : x
  2. Step 2: Convert to fraction form
    1,683.70/2,322.57 = 984.94/x
  3. Step 3: Cross multiply
    1,683.70x = 2,322.57 × 984.94
  4. Step 4: Simplify right side
    1,683.70x = 2,287,592.10
  5. Step 5: Solve for x
    x = 2,287,592.10/1,683.70
  6. Step 6: Final answer
    x = 1,358.67

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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.