Home / 1,222.15-1,832.54-400.20

Finding the Fourth Proportional to 1,222.15, 1,832.54 and 400.20

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Solution

The fourth proportional to 1,222.15, 1,832.54 and 400.20 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.15 : 1,832.54 = 400.20 : x
  2. Step 2: Convert to fraction form
    1,222.15/1,832.54 = 400.20/x
  3. Step 3: Cross multiply
    1,222.15x = 1,832.54 × 400.20
  4. Step 4: Simplify right side
    1,222.15x = 733,380.51
  5. Step 5: Solve for x
    x = 733,380.51/1,222.15
  6. Step 6: Final answer
    x = 600.08

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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.