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Finding the Fourth Proportional to 1,182.03, 1,631.37 and 684.69

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Solution

The fourth proportional to 1,182.03, 1,631.37 and 684.69 is: 944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.03 : 1,631.37 = 684.69 : x
  2. Step 2: Convert to fraction form
    1,182.03/1,631.37 = 684.69/x
  3. Step 3: Cross multiply
    1,182.03x = 1,631.37 × 684.69
  4. Step 4: Simplify right side
    1,182.03x = 1,116,982.73
  5. Step 5: Solve for x
    x = 1,116,982.73/1,182.03
  6. Step 6: Final answer
    x = 944.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.