Home / 1,025.24-1,414.74-605.54

Finding the Fourth Proportional to 1,025.24, 1,414.74 and 605.54

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Solution

The fourth proportional to 1,025.24, 1,414.74 and 605.54 is: 835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.24 : 1,414.74 = 605.54 : x
  2. Step 2: Convert to fraction form
    1,025.24/1,414.74 = 605.54/x
  3. Step 3: Cross multiply
    1,025.24x = 1,414.74 × 605.54
  4. Step 4: Simplify right side
    1,025.24x = 856,681.66
  5. Step 5: Solve for x
    x = 856,681.66/1,025.24
  6. Step 6: Final answer
    x = 835.59

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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.