Home / 1,220.38-1,829.49-911.86

Finding the Fourth Proportional to 1,220.38, 1,829.49 and 911.86

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Solution

The fourth proportional to 1,220.38, 1,829.49 and 911.86 is: 1,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.38 : 1,829.49 = 911.86 : x
  2. Step 2: Convert to fraction form
    1,220.38/1,829.49 = 911.86/x
  3. Step 3: Cross multiply
    1,220.38x = 1,829.49 × 911.86
  4. Step 4: Simplify right side
    1,220.38x = 1,668,238.75
  5. Step 5: Solve for x
    x = 1,668,238.75/1,220.38
  6. Step 6: Final answer
    x = 1,366.98

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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.