Home / 1,223.56-1,835.61-493.14

Finding the Fourth Proportional to 1,223.56, 1,835.61 and 493.14

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Solution

The fourth proportional to 1,223.56, 1,835.61 and 493.14 is: 739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.56 : 1,835.61 = 493.14 : x
  2. Step 2: Convert to fraction form
    1,223.56/1,835.61 = 493.14/x
  3. Step 3: Cross multiply
    1,223.56x = 1,835.61 × 493.14
  4. Step 4: Simplify right side
    1,223.56x = 905,212.72
  5. Step 5: Solve for x
    x = 905,212.72/1,223.56
  6. Step 6: Final answer
    x = 739.82

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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.