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Finding the Fourth Proportional to 1,224.10, 1,835.07 and 443.53

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Solution

The fourth proportional to 1,224.10, 1,835.07 and 443.53 is: 664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.10 : 1,835.07 = 443.53 : x
  2. Step 2: Convert to fraction form
    1,224.10/1,835.07 = 443.53/x
  3. Step 3: Cross multiply
    1,224.10x = 1,835.07 × 443.53
  4. Step 4: Simplify right side
    1,224.10x = 813,908.60
  5. Step 5: Solve for x
    x = 813,908.60/1,224.10
  6. Step 6: Final answer
    x = 664.90

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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.