Home / 1,222.25-1,831.10-605.25

Finding the Fourth Proportional to 1,222.25, 1,831.10 and 605.25

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Solution

The fourth proportional to 1,222.25, 1,831.10 and 605.25 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.25 : 1,831.10 = 605.25 : x
  2. Step 2: Convert to fraction form
    1,222.25/1,831.10 = 605.25/x
  3. Step 3: Cross multiply
    1,222.25x = 1,831.10 × 605.25
  4. Step 4: Simplify right side
    1,222.25x = 1,108,270.25
  5. Step 5: Solve for x
    x = 1,108,270.25/1,222.25
  6. Step 6: Final answer
    x = 906.75

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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.