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Finding the Fourth Proportional to 444.39, 662.21 and 429.71

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Solution

The fourth proportional to 444.39, 662.21 and 429.71 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.39 : 662.21 = 429.71 : x
  2. Step 2: Convert to fraction form
    444.39/662.21 = 429.71/x
  3. Step 3: Cross multiply
    444.39x = 662.21 × 429.71
  4. Step 4: Simplify right side
    444.39x = 284,554.41
  5. Step 5: Solve for x
    x = 284,554.41/444.39
  6. Step 6: Final answer
    x = 640.33

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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.