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Finding the Fourth Proportional to 416.25, 622.89 and 392.49

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Solution

The fourth proportional to 416.25, 622.89 and 392.49 is: 587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 622.89 = 392.49 : x
  2. Step 2: Convert to fraction form
    416.25/622.89 = 392.49/x
  3. Step 3: Cross multiply
    416.25x = 622.89 × 392.49
  4. Step 4: Simplify right side
    416.25x = 244,478.10
  5. Step 5: Solve for x
    x = 244,478.10/416.25
  6. Step 6: Final answer
    x = 587.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.