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Finding the Fourth Proportional to 1,789.16, 2,684.72 and 693.57

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Solution

The fourth proportional to 1,789.16, 2,684.72 and 693.57 is: 1,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.16 : 2,684.72 = 693.57 : x
  2. Step 2: Convert to fraction form
    1,789.16/2,684.72 = 693.57/x
  3. Step 3: Cross multiply
    1,789.16x = 2,684.72 × 693.57
  4. Step 4: Simplify right side
    1,789.16x = 1,862,042.98
  5. Step 5: Solve for x
    x = 1,862,042.98/1,789.16
  6. Step 6: Final answer
    x = 1,040.73

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