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Finding the Fourth Proportional to 1,791.56, 2,686.29 and 694.64

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Solution

The fourth proportional to 1,791.56, 2,686.29 and 694.64 is: 1,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.56 : 2,686.29 = 694.64 : x
  2. Step 2: Convert to fraction form
    1,791.56/2,686.29 = 694.64/x
  3. Step 3: Cross multiply
    1,791.56x = 2,686.29 × 694.64
  4. Step 4: Simplify right side
    1,791.56x = 1,865,999.22
  5. Step 5: Solve for x
    x = 1,865,999.22/1,791.56
  6. Step 6: Final answer
    x = 1,041.55

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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.