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Finding the Fourth Proportional to 797.44, 1,202.20 and 670

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Solution

The fourth proportional to 797.44, 1,202.20 and 670 is: 1,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.44 : 1,202.20 = 670 : x
  2. Step 2: Convert to fraction form
    797.44/1,202.20 = 670/x
  3. Step 3: Cross multiply
    797.44x = 1,202.20 × 670
  4. Step 4: Simplify right side
    797.44x = 805,474
  5. Step 5: Solve for x
    x = 805,474/797.44
  6. Step 6: Final answer
    x = 1,010.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.