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Finding the Fourth Proportional to 455.26, 680.50 and 394.26

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Solution

The fourth proportional to 455.26, 680.50 and 394.26 is: 589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.26 : 680.50 = 394.26 : x
  2. Step 2: Convert to fraction form
    455.26/680.50 = 394.26/x
  3. Step 3: Cross multiply
    455.26x = 680.50 × 394.26
  4. Step 4: Simplify right side
    455.26x = 268,293.93
  5. Step 5: Solve for x
    x = 268,293.93/455.26
  6. Step 6: Final answer
    x = 589.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.