Home / 1,454.72-2,182.26-414.75

Finding the Fourth Proportional to 1,454.72, 2,182.26 and 414.75

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Solution

The fourth proportional to 1,454.72, 2,182.26 and 414.75 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.72 : 2,182.26 = 414.75 : x
  2. Step 2: Convert to fraction form
    1,454.72/2,182.26 = 414.75/x
  3. Step 3: Cross multiply
    1,454.72x = 2,182.26 × 414.75
  4. Step 4: Simplify right side
    1,454.72x = 905,092.34
  5. Step 5: Solve for x
    x = 905,092.34/1,454.72
  6. Step 6: Final answer
    x = 622.18

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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.