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Finding the Fourth Proportional to 446.13, 664.31 and 427.50

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Solution

The fourth proportional to 446.13, 664.31 and 427.50 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 664.31 = 427.50 : x
  2. Step 2: Convert to fraction form
    446.13/664.31 = 427.50/x
  3. Step 3: Cross multiply
    446.13x = 664.31 × 427.50
  4. Step 4: Simplify right side
    446.13x = 283,993.59
  5. Step 5: Solve for x
    x = 283,993.59/446.13
  6. Step 6: Final answer
    x = 636.57

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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.