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Finding the Fourth Proportional to 1,189.64, 1,641.65 and 658.49

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Solution

The fourth proportional to 1,189.64, 1,641.65 and 658.49 is: 908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.64 : 1,641.65 = 658.49 : x
  2. Step 2: Convert to fraction form
    1,189.64/1,641.65 = 658.49/x
  3. Step 3: Cross multiply
    1,189.64x = 1,641.65 × 658.49
  4. Step 4: Simplify right side
    1,189.64x = 1,081,003.55
  5. Step 5: Solve for x
    x = 1,081,003.55/1,189.64
  6. Step 6: Final answer
    x = 908.68

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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.