Home / 1,282.26-1,923.30-460.38

Finding the Fourth Proportional to 1,282.26, 1,923.30 and 460.38

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Solution

The fourth proportional to 1,282.26, 1,923.30 and 460.38 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.26 : 1,923.30 = 460.38 : x
  2. Step 2: Convert to fraction form
    1,282.26/1,923.30 = 460.38/x
  3. Step 3: Cross multiply
    1,282.26x = 1,923.30 × 460.38
  4. Step 4: Simplify right side
    1,282.26x = 885,448.85
  5. Step 5: Solve for x
    x = 885,448.85/1,282.26
  6. Step 6: Final answer
    x = 690.54

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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.