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Finding the Fourth Proportional to 444.84, 662.88 and 420

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Solution

The fourth proportional to 444.84, 662.88 and 420 is: 625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.84 : 662.88 = 420 : x
  2. Step 2: Convert to fraction form
    444.84/662.88 = 420/x
  3. Step 3: Cross multiply
    444.84x = 662.88 × 420
  4. Step 4: Simplify right side
    444.84x = 278,409.60
  5. Step 5: Solve for x
    x = 278,409.60/444.84
  6. Step 6: Final answer
    x = 625.86

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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.