Home / 1,021.22-1,531.60-290.78

Finding the Fourth Proportional to 1,021.22, 1,531.60 and 290.78

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Solution

The fourth proportional to 1,021.22, 1,531.60 and 290.78 is: 436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.22 : 1,531.60 = 290.78 : x
  2. Step 2: Convert to fraction form
    1,021.22/1,531.60 = 290.78/x
  3. Step 3: Cross multiply
    1,021.22x = 1,531.60 × 290.78
  4. Step 4: Simplify right side
    1,021.22x = 445,358.65
  5. Step 5: Solve for x
    x = 445,358.65/1,021.22
  6. Step 6: Final answer
    x = 436.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.