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Finding the Fourth Proportional to 415.56, 623.60 and 344.28

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Solution

The fourth proportional to 415.56, 623.60 and 344.28 is: 516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 623.60 = 344.28 : x
  2. Step 2: Convert to fraction form
    415.56/623.60 = 344.28/x
  3. Step 3: Cross multiply
    415.56x = 623.60 × 344.28
  4. Step 4: Simplify right side
    415.56x = 214,693.01
  5. Step 5: Solve for x
    x = 214,693.01/415.56
  6. Step 6: Final answer
    x = 516.64

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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.