Home / 1,021.23-1,532.09-290.81

Finding the Fourth Proportional to 1,021.23, 1,532.09 and 290.81

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Solution

The fourth proportional to 1,021.23, 1,532.09 and 290.81 is: 436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.23 : 1,532.09 = 290.81 : x
  2. Step 2: Convert to fraction form
    1,021.23/1,532.09 = 290.81/x
  3. Step 3: Cross multiply
    1,021.23x = 1,532.09 × 290.81
  4. Step 4: Simplify right side
    1,021.23x = 445,537.98
  5. Step 5: Solve for x
    x = 445,537.98/1,021.23
  6. Step 6: Final answer
    x = 436.28

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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.