Home / 1,216.14-1,823.89-523.23

Finding the Fourth Proportional to 1,216.14, 1,823.89 and 523.23

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Solution

The fourth proportional to 1,216.14, 1,823.89 and 523.23 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,823.89 = 523.23 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,823.89 = 523.23/x
  3. Step 3: Cross multiply
    1,216.14x = 1,823.89 × 523.23
  4. Step 4: Simplify right side
    1,216.14x = 954,313.96
  5. Step 5: Solve for x
    x = 954,313.96/1,216.14
  6. Step 6: Final answer
    x = 784.71

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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.