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Finding the Fourth Proportional to 427.37, 644.70 and 414.60

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Solution

The fourth proportional to 427.37, 644.70 and 414.60 is: 625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.37 : 644.70 = 414.60 : x
  2. Step 2: Convert to fraction form
    427.37/644.70 = 414.60/x
  3. Step 3: Cross multiply
    427.37x = 644.70 × 414.60
  4. Step 4: Simplify right side
    427.37x = 267,292.62
  5. Step 5: Solve for x
    x = 267,292.62/427.37
  6. Step 6: Final answer
    x = 625.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.