Home / 1,020.67-1,531.17-290.25

Finding the Fourth Proportional to 1,020.67, 1,531.17 and 290.25

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Solution

The fourth proportional to 1,020.67, 1,531.17 and 290.25 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.67 : 1,531.17 = 290.25 : x
  2. Step 2: Convert to fraction form
    1,020.67/1,531.17 = 290.25/x
  3. Step 3: Cross multiply
    1,020.67x = 1,531.17 × 290.25
  4. Step 4: Simplify right side
    1,020.67x = 444,422.09
  5. Step 5: Solve for x
    x = 444,422.09/1,020.67
  6. Step 6: Final answer
    x = 435.42

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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.