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Finding the Fourth Proportional to 1,389.52, 2,084.29 and 523.83

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Solution

The fourth proportional to 1,389.52, 2,084.29 and 523.83 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.52 : 2,084.29 = 523.83 : x
  2. Step 2: Convert to fraction form
    1,389.52/2,084.29 = 523.83/x
  3. Step 3: Cross multiply
    1,389.52x = 2,084.29 × 523.83
  4. Step 4: Simplify right side
    1,389.52x = 1,091,820.14
  5. Step 5: Solve for x
    x = 1,091,820.14/1,389.52
  6. Step 6: Final answer
    x = 785.75

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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.