Home / 1,021.25-1,531.61-290.66

Finding the Fourth Proportional to 1,021.25, 1,531.61 and 290.66

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Solution

The fourth proportional to 1,021.25, 1,531.61 and 290.66 is: 435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.25 : 1,531.61 = 290.66 : x
  2. Step 2: Convert to fraction form
    1,021.25/1,531.61 = 290.66/x
  3. Step 3: Cross multiply
    1,021.25x = 1,531.61 × 290.66
  4. Step 4: Simplify right side
    1,021.25x = 445,168.65
  5. Step 5: Solve for x
    x = 445,168.65/1,021.25
  6. Step 6: Final answer
    x = 435.91

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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.