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Finding the Fourth Proportional to 1,396.51, 2,093.28 and 664.54

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Solution

The fourth proportional to 1,396.51, 2,093.28 and 664.54 is: 996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.51 : 2,093.28 = 664.54 : x
  2. Step 2: Convert to fraction form
    1,396.51/2,093.28 = 664.54/x
  3. Step 3: Cross multiply
    1,396.51x = 2,093.28 × 664.54
  4. Step 4: Simplify right side
    1,396.51x = 1,391,068.29
  5. Step 5: Solve for x
    x = 1,391,068.29/1,396.51
  6. Step 6: Final answer
    x = 996.10

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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.