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Finding the Fourth Proportional to 1,222.12, 1,832.72 and 400.20

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Solution

The fourth proportional to 1,222.12, 1,832.72 and 400.20 is: 600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.12 : 1,832.72 = 400.20 : x
  2. Step 2: Convert to fraction form
    1,222.12/1,832.72 = 400.20/x
  3. Step 3: Cross multiply
    1,222.12x = 1,832.72 × 400.20
  4. Step 4: Simplify right side
    1,222.12x = 733,454.54
  5. Step 5: Solve for x
    x = 733,454.54/1,222.12
  6. Step 6: Final answer
    x = 600.15

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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.