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Finding the Fourth Proportional to 797.62, 1,100.82 and 577.30

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Solution

The fourth proportional to 797.62, 1,100.82 and 577.30 is: 796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.62 : 1,100.82 = 577.30 : x
  2. Step 2: Convert to fraction form
    797.62/1,100.82 = 577.30/x
  3. Step 3: Cross multiply
    797.62x = 1,100.82 × 577.30
  4. Step 4: Simplify right side
    797.62x = 635,503.39
  5. Step 5: Solve for x
    x = 635,503.39/797.62
  6. Step 6: Final answer
    x = 796.75

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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.