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Finding the Fourth Proportional to 1,389.06, 2,083.90 and 523.38

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Solution

The fourth proportional to 1,389.06, 2,083.90 and 523.38 is: 785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.06 : 2,083.90 = 523.38 : x
  2. Step 2: Convert to fraction form
    1,389.06/2,083.90 = 523.38/x
  3. Step 3: Cross multiply
    1,389.06x = 2,083.90 × 523.38
  4. Step 4: Simplify right side
    1,389.06x = 1,090,671.58
  5. Step 5: Solve for x
    x = 1,090,671.58/1,389.06
  6. Step 6: Final answer
    x = 785.19

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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.