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Finding the Fourth Proportional to 444, 662 and 419.52

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Solution

The fourth proportional to 444, 662 and 419.52 is: 625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444 : 662 = 419.52 : x
  2. Step 2: Convert to fraction form
    444/662 = 419.52/x
  3. Step 3: Cross multiply
    444x = 662 × 419.52
  4. Step 4: Simplify right side
    444x = 277,722.24
  5. Step 5: Solve for x
    x = 277,722.24/444
  6. Step 6: Final answer
    x = 625.50

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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.