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Finding the Fourth Proportional to 1,301.51, 1,796.11 and 777.44

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Solution

The fourth proportional to 1,301.51, 1,796.11 and 777.44 is: 1,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.51 : 1,796.11 = 777.44 : x
  2. Step 2: Convert to fraction form
    1,301.51/1,796.11 = 777.44/x
  3. Step 3: Cross multiply
    1,301.51x = 1,796.11 × 777.44
  4. Step 4: Simplify right side
    1,301.51x = 1,396,367.76
  5. Step 5: Solve for x
    x = 1,396,367.76/1,301.51
  6. Step 6: Final answer
    x = 1,072.88

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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.