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Finding the Fourth Proportional to 982.73, 1,355.18 and 684.34

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Solution

The fourth proportional to 982.73, 1,355.18 and 684.34 is: 943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.73 : 1,355.18 = 684.34 : x
  2. Step 2: Convert to fraction form
    982.73/1,355.18 = 684.34/x
  3. Step 3: Cross multiply
    982.73x = 1,355.18 × 684.34
  4. Step 4: Simplify right side
    982.73x = 927,397.07
  5. Step 5: Solve for x
    x = 927,397.07/982.73
  6. Step 6: Final answer
    x = 943.69

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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.