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Finding the Fourth Proportional to 797.04, 1,100.78 and 622.12

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Solution

The fourth proportional to 797.04, 1,100.78 and 622.12 is: 859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.04 : 1,100.78 = 622.12 : x
  2. Step 2: Convert to fraction form
    797.04/1,100.78 = 622.12/x
  3. Step 3: Cross multiply
    797.04x = 1,100.78 × 622.12
  4. Step 4: Simplify right side
    797.04x = 684,817.25
  5. Step 5: Solve for x
    x = 684,817.25/797.04
  6. Step 6: Final answer
    x = 859.20

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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.