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Finding the Fourth Proportional to 427.48, 636.81 and 414.57

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Solution

The fourth proportional to 427.48, 636.81 and 414.57 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 636.81 = 414.57 : x
  2. Step 2: Convert to fraction form
    427.48/636.81 = 414.57/x
  3. Step 3: Cross multiply
    427.48x = 636.81 × 414.57
  4. Step 4: Simplify right side
    427.48x = 264,003.16
  5. Step 5: Solve for x
    x = 264,003.16/427.48
  6. Step 6: Final answer
    x = 617.58

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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.