Home / 1,021.26-1,531.70-290.91

Finding the Fourth Proportional to 1,021.26, 1,531.70 and 290.91

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Solution

The fourth proportional to 1,021.26, 1,531.70 and 290.91 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.26 : 1,531.70 = 290.91 : x
  2. Step 2: Convert to fraction form
    1,021.26/1,531.70 = 290.91/x
  3. Step 3: Cross multiply
    1,021.26x = 1,531.70 × 290.91
  4. Step 4: Simplify right side
    1,021.26x = 445,585.39
  5. Step 5: Solve for x
    x = 445,585.39/1,021.26
  6. Step 6: Final answer
    x = 436.31

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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.