Home / 1,407.33-2,110.84-381.25

Finding the Fourth Proportional to 1,407.33, 2,110.84 and 381.25

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Solution

The fourth proportional to 1,407.33, 2,110.84 and 381.25 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.33 : 2,110.84 = 381.25 : x
  2. Step 2: Convert to fraction form
    1,407.33/2,110.84 = 381.25/x
  3. Step 3: Cross multiply
    1,407.33x = 2,110.84 × 381.25
  4. Step 4: Simplify right side
    1,407.33x = 804,755.84
  5. Step 5: Solve for x
    x = 804,755.84/1,407.33
  6. Step 6: Final answer
    x = 571.83

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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.