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Finding the Fourth Proportional to 412.89, 623.82 and 409.25

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Solution

The fourth proportional to 412.89, 623.82 and 409.25 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 623.82 = 409.25 : x
  2. Step 2: Convert to fraction form
    412.89/623.82 = 409.25/x
  3. Step 3: Cross multiply
    412.89x = 623.82 × 409.25
  4. Step 4: Simplify right side
    412.89x = 255,295.22
  5. Step 5: Solve for x
    x = 255,295.22/412.89
  6. Step 6: Final answer
    x = 618.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.