Home / 1,222.86-1,688.12-819.77

Finding the Fourth Proportional to 1,222.86, 1,688.12 and 819.77

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Solution

The fourth proportional to 1,222.86, 1,688.12 and 819.77 is: 1,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.86 : 1,688.12 = 819.77 : x
  2. Step 2: Convert to fraction form
    1,222.86/1,688.12 = 819.77/x
  3. Step 3: Cross multiply
    1,222.86x = 1,688.12 × 819.77
  4. Step 4: Simplify right side
    1,222.86x = 1,383,863.92
  5. Step 5: Solve for x
    x = 1,383,863.92/1,222.86
  6. Step 6: Final answer
    x = 1,131.66

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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.