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Finding the Fourth Proportional to 986.73, 1,478.43 and 696.75

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Solution

The fourth proportional to 986.73, 1,478.43 and 696.75 is: 1,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.73 : 1,478.43 = 696.75 : x
  2. Step 2: Convert to fraction form
    986.73/1,478.43 = 696.75/x
  3. Step 3: Cross multiply
    986.73x = 1,478.43 × 696.75
  4. Step 4: Simplify right side
    986.73x = 1,030,096.10
  5. Step 5: Solve for x
    x = 1,030,096.10/986.73
  6. Step 6: Final answer
    x = 1,043.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.