Home / 1,218.23-1,826.26-438.06

Finding the Fourth Proportional to 1,218.23, 1,826.26 and 438.06

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Solution

The fourth proportional to 1,218.23, 1,826.26 and 438.06 is: 656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.23 : 1,826.26 = 438.06 : x
  2. Step 2: Convert to fraction form
    1,218.23/1,826.26 = 438.06/x
  3. Step 3: Cross multiply
    1,218.23x = 1,826.26 × 438.06
  4. Step 4: Simplify right side
    1,218.23x = 800,003.51
  5. Step 5: Solve for x
    x = 800,003.51/1,218.23
  6. Step 6: Final answer
    x = 656.69

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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.