Home / 1,257.30-1,735.23-733.33

Finding the Fourth Proportional to 1,257.30, 1,735.23 and 733.33

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Solution

The fourth proportional to 1,257.30, 1,735.23 and 733.33 is: 1,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.30 : 1,735.23 = 733.33 : x
  2. Step 2: Convert to fraction form
    1,257.30/1,735.23 = 733.33/x
  3. Step 3: Cross multiply
    1,257.30x = 1,735.23 × 733.33
  4. Step 4: Simplify right side
    1,257.30x = 1,272,496.22
  5. Step 5: Solve for x
    x = 1,272,496.22/1,257.30
  6. Step 6: Final answer
    x = 1,012.09

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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.