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Finding the Fourth Proportional to 427.12, 635.48 and 425.68

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Solution

The fourth proportional to 427.12, 635.48 and 425.68 is: 633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 635.48 = 425.68 : x
  2. Step 2: Convert to fraction form
    427.12/635.48 = 425.68/x
  3. Step 3: Cross multiply
    427.12x = 635.48 × 425.68
  4. Step 4: Simplify right side
    427.12x = 270,511.13
  5. Step 5: Solve for x
    x = 270,511.13/427.12
  6. Step 6: Final answer
    x = 633.34

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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.