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Finding the Fourth Proportional to 982.97, 1,468.76 and 743.94

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Solution

The fourth proportional to 982.97, 1,468.76 and 743.94 is: 1,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.97 : 1,468.76 = 743.94 : x
  2. Step 2: Convert to fraction form
    982.97/1,468.76 = 743.94/x
  3. Step 3: Cross multiply
    982.97x = 1,468.76 × 743.94
  4. Step 4: Simplify right side
    982.97x = 1,092,673.43
  5. Step 5: Solve for x
    x = 1,092,673.43/982.97
  6. Step 6: Final answer
    x = 1,111.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.