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Finding the Fourth Proportional to 1,389.24, 2,084.42 and 523.62

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Solution

The fourth proportional to 1,389.24, 2,084.42 and 523.62 is: 785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.24 : 2,084.42 = 523.62 : x
  2. Step 2: Convert to fraction form
    1,389.24/2,084.42 = 523.62/x
  3. Step 3: Cross multiply
    1,389.24x = 2,084.42 × 523.62
  4. Step 4: Simplify right side
    1,389.24x = 1,091,444.00
  5. Step 5: Solve for x
    x = 1,091,444.00/1,389.24
  6. Step 6: Final answer
    x = 785.64

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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.