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Finding the Fourth Proportional to 444.14, 669.48 and 420.62

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Solution

The fourth proportional to 444.14, 669.48 and 420.62 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.14 : 669.48 = 420.62 : x
  2. Step 2: Convert to fraction form
    444.14/669.48 = 420.62/x
  3. Step 3: Cross multiply
    444.14x = 669.48 × 420.62
  4. Step 4: Simplify right side
    444.14x = 281,596.68
  5. Step 5: Solve for x
    x = 281,596.68/444.14
  6. Step 6: Final answer
    x = 634.03

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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.