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Finding the Fourth Proportional to 444.09, 661.67 and 419.25

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Solution

The fourth proportional to 444.09, 661.67 and 419.25 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.09 : 661.67 = 419.25 : x
  2. Step 2: Convert to fraction form
    444.09/661.67 = 419.25/x
  3. Step 3: Cross multiply
    444.09x = 661.67 × 419.25
  4. Step 4: Simplify right side
    444.09x = 277,405.15
  5. Step 5: Solve for x
    x = 277,405.15/444.09
  6. Step 6: Final answer
    x = 624.66

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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.