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Finding the Fourth Proportional to 797.98, 1,101.50 and 685.49

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Solution

The fourth proportional to 797.98, 1,101.50 and 685.49 is: 946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.98 : 1,101.50 = 685.49 : x
  2. Step 2: Convert to fraction form
    797.98/1,101.50 = 685.49/x
  3. Step 3: Cross multiply
    797.98x = 1,101.50 × 685.49
  4. Step 4: Simplify right side
    797.98x = 755,063.97
  5. Step 5: Solve for x
    x = 755,063.97/797.98
  6. Step 6: Final answer
    x = 946.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.