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Finding the Fourth Proportional to 1,396.06, 2,093.74 and 471.60

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Solution

The fourth proportional to 1,396.06, 2,093.74 and 471.60 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.06 : 2,093.74 = 471.60 : x
  2. Step 2: Convert to fraction form
    1,396.06/2,093.74 = 471.60/x
  3. Step 3: Cross multiply
    1,396.06x = 2,093.74 × 471.60
  4. Step 4: Simplify right side
    1,396.06x = 987,407.78
  5. Step 5: Solve for x
    x = 987,407.78/1,396.06
  6. Step 6: Final answer
    x = 707.28

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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.