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Finding the Fourth Proportional to 446.52, 664.74 and 426.60

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Solution

The fourth proportional to 446.52, 664.74 and 426.60 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.52 : 664.74 = 426.60 : x
  2. Step 2: Convert to fraction form
    446.52/664.74 = 426.60/x
  3. Step 3: Cross multiply
    446.52x = 664.74 × 426.60
  4. Step 4: Simplify right side
    446.52x = 283,578.08
  5. Step 5: Solve for x
    x = 283,578.08/446.52
  6. Step 6: Final answer
    x = 635.08

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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.