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Finding the Fourth Proportional to 797.49, 1,190.40 and 761.97

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Solution

The fourth proportional to 797.49, 1,190.40 and 761.97 is: 1,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.49 : 1,190.40 = 761.97 : x
  2. Step 2: Convert to fraction form
    797.49/1,190.40 = 761.97/x
  3. Step 3: Cross multiply
    797.49x = 1,190.40 × 761.97
  4. Step 4: Simplify right side
    797.49x = 907,049.09
  5. Step 5: Solve for x
    x = 907,049.09/797.49
  6. Step 6: Final answer
    x = 1,137.38

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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.