Home / 1,224.37-1,834.98-493.53

Finding the Fourth Proportional to 1,224.37, 1,834.98 and 493.53

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Solution

The fourth proportional to 1,224.37, 1,834.98 and 493.53 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.37 : 1,834.98 = 493.53 : x
  2. Step 2: Convert to fraction form
    1,224.37/1,834.98 = 493.53/x
  3. Step 3: Cross multiply
    1,224.37x = 1,834.98 × 493.53
  4. Step 4: Simplify right side
    1,224.37x = 905,617.68
  5. Step 5: Solve for x
    x = 905,617.68/1,224.37
  6. Step 6: Final answer
    x = 739.66

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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.