Home / 1,021.33-1,531.82-290.96

Finding the Fourth Proportional to 1,021.33, 1,531.82 and 290.96

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Solution

The fourth proportional to 1,021.33, 1,531.82 and 290.96 is: 436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.33 : 1,531.82 = 290.96 : x
  2. Step 2: Convert to fraction form
    1,021.33/1,531.82 = 290.96/x
  3. Step 3: Cross multiply
    1,021.33x = 1,531.82 × 290.96
  4. Step 4: Simplify right side
    1,021.33x = 445,698.35
  5. Step 5: Solve for x
    x = 445,698.35/1,021.33
  6. Step 6: Final answer
    x = 436.39

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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.