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Finding the Fourth Proportional to 1,189.88, 1,641.97 and 665.81

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Solution

The fourth proportional to 1,189.88, 1,641.97 and 665.81 is: 918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.88 : 1,641.97 = 665.81 : x
  2. Step 2: Convert to fraction form
    1,189.88/1,641.97 = 665.81/x
  3. Step 3: Cross multiply
    1,189.88x = 1,641.97 × 665.81
  4. Step 4: Simplify right side
    1,189.88x = 1,093,240.05
  5. Step 5: Solve for x
    x = 1,093,240.05/1,189.88
  6. Step 6: Final answer
    x = 918.78

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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.