Home / 1,604.25-2,406.47-450.09

Finding the Fourth Proportional to 1,604.25, 2,406.47 and 450.09

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Solution

The fourth proportional to 1,604.25, 2,406.47 and 450.09 is: 675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.25 : 2,406.47 = 450.09 : x
  2. Step 2: Convert to fraction form
    1,604.25/2,406.47 = 450.09/x
  3. Step 3: Cross multiply
    1,604.25x = 2,406.47 × 450.09
  4. Step 4: Simplify right side
    1,604.25x = 1,083,128.08
  5. Step 5: Solve for x
    x = 1,083,128.08/1,604.25
  6. Step 6: Final answer
    x = 675.16

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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.