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Finding the Fourth Proportional to 444.12, 661.61 and 419.28

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Solution

The fourth proportional to 444.12, 661.61 and 419.28 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.12 : 661.61 = 419.28 : x
  2. Step 2: Convert to fraction form
    444.12/661.61 = 419.28/x
  3. Step 3: Cross multiply
    444.12x = 661.61 × 419.28
  4. Step 4: Simplify right side
    444.12x = 277,399.84
  5. Step 5: Solve for x
    x = 277,399.84/444.12
  6. Step 6: Final answer
    x = 624.61

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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.