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Finding the Fourth Proportional to 454.26, 680.92 and 414.17

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Solution

The fourth proportional to 454.26, 680.92 and 414.17 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.26 : 680.92 = 414.17 : x
  2. Step 2: Convert to fraction form
    454.26/680.92 = 414.17/x
  3. Step 3: Cross multiply
    454.26x = 680.92 × 414.17
  4. Step 4: Simplify right side
    454.26x = 282,012.20
  5. Step 5: Solve for x
    x = 282,012.20/454.26
  6. Step 6: Final answer
    x = 620.82

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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.