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Finding the Fourth Proportional to 1,188.77, 1,640.82 and 684.68

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Solution

The fourth proportional to 1,188.77, 1,640.82 and 684.68 is: 945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.77 : 1,640.82 = 684.68 : x
  2. Step 2: Convert to fraction form
    1,188.77/1,640.82 = 684.68/x
  3. Step 3: Cross multiply
    1,188.77x = 1,640.82 × 684.68
  4. Step 4: Simplify right side
    1,188.77x = 1,123,436.64
  5. Step 5: Solve for x
    x = 1,123,436.64/1,188.77
  6. Step 6: Final answer
    x = 945.04

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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.