Home / 1,021.26-1,531.90-428.34

Finding the Fourth Proportional to 1,021.26, 1,531.90 and 428.34

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Solution

The fourth proportional to 1,021.26, 1,531.90 and 428.34 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.26 : 1,531.90 = 428.34 : x
  2. Step 2: Convert to fraction form
    1,021.26/1,531.90 = 428.34/x
  3. Step 3: Cross multiply
    1,021.26x = 1,531.90 × 428.34
  4. Step 4: Simplify right side
    1,021.26x = 656,174.05
  5. Step 5: Solve for x
    x = 656,174.05/1,021.26
  6. Step 6: Final answer
    x = 642.51

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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.