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Finding the Fourth Proportional to 444.97, 664.25 and 384.13

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Solution

The fourth proportional to 444.97, 664.25 and 384.13 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 664.25 = 384.13 : x
  2. Step 2: Convert to fraction form
    444.97/664.25 = 384.13/x
  3. Step 3: Cross multiply
    444.97x = 664.25 × 384.13
  4. Step 4: Simplify right side
    444.97x = 255,158.35
  5. Step 5: Solve for x
    x = 255,158.35/444.97
  6. Step 6: Final answer
    x = 573.43

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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.