Home / 1,012.10-1,396.36-825.27

Finding the Fourth Proportional to 1,012.10, 1,396.36 and 825.27

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Solution

The fourth proportional to 1,012.10, 1,396.36 and 825.27 is: 1,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.10 : 1,396.36 = 825.27 : x
  2. Step 2: Convert to fraction form
    1,012.10/1,396.36 = 825.27/x
  3. Step 3: Cross multiply
    1,012.10x = 1,396.36 × 825.27
  4. Step 4: Simplify right side
    1,012.10x = 1,152,369.81
  5. Step 5: Solve for x
    x = 1,152,369.81/1,012.10
  6. Step 6: Final answer
    x = 1,138.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.