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Finding the Fourth Proportional to 698.22, 1,043.21 and 673.99

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Solution

The fourth proportional to 698.22, 1,043.21 and 673.99 is: 1,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.22 : 1,043.21 = 673.99 : x
  2. Step 2: Convert to fraction form
    698.22/1,043.21 = 673.99/x
  3. Step 3: Cross multiply
    698.22x = 1,043.21 × 673.99
  4. Step 4: Simplify right side
    698.22x = 703,112.18
  5. Step 5: Solve for x
    x = 703,112.18/698.22
  6. Step 6: Final answer
    x = 1,007.01

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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.