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Finding the Fourth Proportional to 1,198.77, 1,796.77 and 540.51

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Solution

The fourth proportional to 1,198.77, 1,796.77 and 540.51 is: 810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.77 : 1,796.77 = 540.51 : x
  2. Step 2: Convert to fraction form
    1,198.77/1,796.77 = 540.51/x
  3. Step 3: Cross multiply
    1,198.77x = 1,796.77 × 540.51
  4. Step 4: Simplify right side
    1,198.77x = 971,172.15
  5. Step 5: Solve for x
    x = 971,172.15/1,198.77
  6. Step 6: Final answer
    x = 810.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.