Home / 1,769.06-2,653.61-614.81

Finding the Fourth Proportional to 1,769.06, 2,653.61 and 614.81

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Solution

The fourth proportional to 1,769.06, 2,653.61 and 614.81 is: 922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.06 : 2,653.61 = 614.81 : x
  2. Step 2: Convert to fraction form
    1,769.06/2,653.61 = 614.81/x
  3. Step 3: Cross multiply
    1,769.06x = 2,653.61 × 614.81
  4. Step 4: Simplify right side
    1,769.06x = 1,631,469.52
  5. Step 5: Solve for x
    x = 1,631,469.52/1,769.06
  6. Step 6: Final answer
    x = 922.22

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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.