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Finding the Fourth Proportional to 415.44, 623.42 and 412.00

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Solution

The fourth proportional to 415.44, 623.42 and 412.00 is: 618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 623.42 = 412.00 : x
  2. Step 2: Convert to fraction form
    415.44/623.42 = 412.00/x
  3. Step 3: Cross multiply
    415.44x = 623.42 × 412.00
  4. Step 4: Simplify right side
    415.44x = 256,846.97
  5. Step 5: Solve for x
    x = 256,846.97/415.44
  6. Step 6: Final answer
    x = 618.25

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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.