Home / 1,021.10-1,531.46-436.43

Finding the Fourth Proportional to 1,021.10, 1,531.46 and 436.43

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Solution

The fourth proportional to 1,021.10, 1,531.46 and 436.43 is: 654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.10 : 1,531.46 = 436.43 : x
  2. Step 2: Convert to fraction form
    1,021.10/1,531.46 = 436.43/x
  3. Step 3: Cross multiply
    1,021.10x = 1,531.46 × 436.43
  4. Step 4: Simplify right side
    1,021.10x = 668,370.98
  5. Step 5: Solve for x
    x = 668,370.98/1,021.10
  6. Step 6: Final answer
    x = 654.56

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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.