Home / 1,222.87-1,687.03-824.78

Finding the Fourth Proportional to 1,222.87, 1,687.03 and 824.78

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Solution

The fourth proportional to 1,222.87, 1,687.03 and 824.78 is: 1,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.87 : 1,687.03 = 824.78 : x
  2. Step 2: Convert to fraction form
    1,222.87/1,687.03 = 824.78/x
  3. Step 3: Cross multiply
    1,222.87x = 1,687.03 × 824.78
  4. Step 4: Simplify right side
    1,222.87x = 1,391,430.76
  5. Step 5: Solve for x
    x = 1,391,430.76/1,222.87
  6. Step 6: Final answer
    x = 1,137.84

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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.