Home / 1,222.26-1,833.39-977.64

Finding the Fourth Proportional to 1,222.26, 1,833.39 and 977.64

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Solution

The fourth proportional to 1,222.26, 1,833.39 and 977.64 is: 1,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.26 : 1,833.39 = 977.64 : x
  2. Step 2: Convert to fraction form
    1,222.26/1,833.39 = 977.64/x
  3. Step 3: Cross multiply
    1,222.26x = 1,833.39 × 977.64
  4. Step 4: Simplify right side
    1,222.26x = 1,792,395.40
  5. Step 5: Solve for x
    x = 1,792,395.40/1,222.26
  6. Step 6: Final answer
    x = 1,466.46

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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.