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Finding the Fourth Proportional to 1,189.11, 1,640.93 and 658.04

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Solution

The fourth proportional to 1,189.11, 1,640.93 and 658.04 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.11 : 1,640.93 = 658.04 : x
  2. Step 2: Convert to fraction form
    1,189.11/1,640.93 = 658.04/x
  3. Step 3: Cross multiply
    1,189.11x = 1,640.93 × 658.04
  4. Step 4: Simplify right side
    1,189.11x = 1,079,786.08
  5. Step 5: Solve for x
    x = 1,079,786.08/1,189.11
  6. Step 6: Final answer
    x = 908.06

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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.