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Finding the Fourth Proportional to 1,454.85, 2,182.43 and 414.90

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Solution

The fourth proportional to 1,454.85, 2,182.43 and 414.90 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.85 : 2,182.43 = 414.90 : x
  2. Step 2: Convert to fraction form
    1,454.85/2,182.43 = 414.90/x
  3. Step 3: Cross multiply
    1,454.85x = 2,182.43 × 414.90
  4. Step 4: Simplify right side
    1,454.85x = 905,491.24
  5. Step 5: Solve for x
    x = 905,491.24/1,454.85
  6. Step 6: Final answer
    x = 622.39

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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.