Home / 1,223.46-1,688.83-869.90

Finding the Fourth Proportional to 1,223.46, 1,688.83 and 869.90

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Solution

The fourth proportional to 1,223.46, 1,688.83 and 869.90 is: 1,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.46 : 1,688.83 = 869.90 : x
  2. Step 2: Convert to fraction form
    1,223.46/1,688.83 = 869.90/x
  3. Step 3: Cross multiply
    1,223.46x = 1,688.83 × 869.90
  4. Step 4: Simplify right side
    1,223.46x = 1,469,102.60
  5. Step 5: Solve for x
    x = 1,469,102.60/1,223.46
  6. Step 6: Final answer
    x = 1,200.78

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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.