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Finding the Fourth Proportional to 623.51, 936.07 and 408.05

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Solution

The fourth proportional to 623.51, 936.07 and 408.05 is: 612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.51 : 936.07 = 408.05 : x
  2. Step 2: Convert to fraction form
    623.51/936.07 = 408.05/x
  3. Step 3: Cross multiply
    623.51x = 936.07 × 408.05
  4. Step 4: Simplify right side
    623.51x = 381,957.66
  5. Step 5: Solve for x
    x = 381,957.66/623.51
  6. Step 6: Final answer
    x = 612.60

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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.