Home / 1,021.23-1,532.10-290.80

Finding the Fourth Proportional to 1,021.23, 1,532.10 and 290.80

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Solution

The fourth proportional to 1,021.23, 1,532.10 and 290.80 is: 436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.23 : 1,532.10 = 290.80 : x
  2. Step 2: Convert to fraction form
    1,021.23/1,532.10 = 290.80/x
  3. Step 3: Cross multiply
    1,021.23x = 1,532.10 × 290.80
  4. Step 4: Simplify right side
    1,021.23x = 445,536.60
  5. Step 5: Solve for x
    x = 445,536.60/1,021.23
  6. Step 6: Final answer
    x = 436.27

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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.