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Finding the Fourth Proportional to 1,189.82, 1,785 and 368.09

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Solution

The fourth proportional to 1,189.82, 1,785 and 368.09 is: 552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.82 : 1,785 = 368.09 : x
  2. Step 2: Convert to fraction form
    1,189.82/1,785 = 368.09/x
  3. Step 3: Cross multiply
    1,189.82x = 1,785 × 368.09
  4. Step 4: Simplify right side
    1,189.82x = 657,040.65
  5. Step 5: Solve for x
    x = 657,040.65/1,189.82
  6. Step 6: Final answer
    x = 552.22

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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.