Home / 1,522.10-2,287.42-905.90

Finding the Fourth Proportional to 1,522.10, 2,287.42 and 905.90

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Solution

The fourth proportional to 1,522.10, 2,287.42 and 905.90 is: 1,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.10 : 2,287.42 = 905.90 : x
  2. Step 2: Convert to fraction form
    1,522.10/2,287.42 = 905.90/x
  3. Step 3: Cross multiply
    1,522.10x = 2,287.42 × 905.90
  4. Step 4: Simplify right side
    1,522.10x = 2,072,177.23
  5. Step 5: Solve for x
    x = 2,072,177.23/1,522.10
  6. Step 6: Final answer
    x = 1,361.39

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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.