Home / 1,199.67-1,656.09-905.04

Finding the Fourth Proportional to 1,199.67, 1,656.09 and 905.04

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Solution

The fourth proportional to 1,199.67, 1,656.09 and 905.04 is: 1,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.67 : 1,656.09 = 905.04 : x
  2. Step 2: Convert to fraction form
    1,199.67/1,656.09 = 905.04/x
  3. Step 3: Cross multiply
    1,199.67x = 1,656.09 × 905.04
  4. Step 4: Simplify right side
    1,199.67x = 1,498,827.69
  5. Step 5: Solve for x
    x = 1,498,827.69/1,199.67
  6. Step 6: Final answer
    x = 1,249.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.