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Finding the Fourth Proportional to 625.40, 936.48 and 408.32

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Solution

The fourth proportional to 625.40, 936.48 and 408.32 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.40 : 936.48 = 408.32 : x
  2. Step 2: Convert to fraction form
    625.40/936.48 = 408.32/x
  3. Step 3: Cross multiply
    625.40x = 936.48 × 408.32
  4. Step 4: Simplify right side
    625.40x = 382,383.51
  5. Step 5: Solve for x
    x = 382,383.51/625.40
  6. Step 6: Final answer
    x = 611.42

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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.