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Finding the Fourth Proportional to 444.90, 614.44 and 438.82

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Solution

The fourth proportional to 444.90, 614.44 and 438.82 is: 606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 614.44 = 438.82 : x
  2. Step 2: Convert to fraction form
    444.90/614.44 = 438.82/x
  3. Step 3: Cross multiply
    444.90x = 614.44 × 438.82
  4. Step 4: Simplify right side
    444.90x = 269,628.56
  5. Step 5: Solve for x
    x = 269,628.56/444.90
  6. Step 6: Final answer
    x = 606.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.