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Finding the Fourth Proportional to 1,189.50, 1,641.39 and 658.37

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Solution

The fourth proportional to 1,189.50, 1,641.39 and 658.37 is: 908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.50 : 1,641.39 = 658.37 : x
  2. Step 2: Convert to fraction form
    1,189.50/1,641.39 = 658.37/x
  3. Step 3: Cross multiply
    1,189.50x = 1,641.39 × 658.37
  4. Step 4: Simplify right side
    1,189.50x = 1,080,633.73
  5. Step 5: Solve for x
    x = 1,080,633.73/1,189.50
  6. Step 6: Final answer
    x = 908.48

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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.