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Finding the Fourth Proportional to 444.16, 667.20 and 414.40

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Solution

The fourth proportional to 444.16, 667.20 and 414.40 is: 622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.16 : 667.20 = 414.40 : x
  2. Step 2: Convert to fraction form
    444.16/667.20 = 414.40/x
  3. Step 3: Cross multiply
    444.16x = 667.20 × 414.40
  4. Step 4: Simplify right side
    444.16x = 276,487.68
  5. Step 5: Solve for x
    x = 276,487.68/444.16
  6. Step 6: Final answer
    x = 622.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.