Home / 1,638.81-2,458.23-406.22

Finding the Fourth Proportional to 1,638.81, 2,458.23 and 406.22

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Solution

The fourth proportional to 1,638.81, 2,458.23 and 406.22 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.81 : 2,458.23 = 406.22 : x
  2. Step 2: Convert to fraction form
    1,638.81/2,458.23 = 406.22/x
  3. Step 3: Cross multiply
    1,638.81x = 2,458.23 × 406.22
  4. Step 4: Simplify right side
    1,638.81x = 998,569.90
  5. Step 5: Solve for x
    x = 998,569.90/1,638.81
  6. Step 6: Final answer
    x = 609.33

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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.