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Finding the Fourth Proportional to 415.79, 623.69 and 272.42

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Solution

The fourth proportional to 415.79, 623.69 and 272.42 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 623.69 = 272.42 : x
  2. Step 2: Convert to fraction form
    415.79/623.69 = 272.42/x
  3. Step 3: Cross multiply
    415.79x = 623.69 × 272.42
  4. Step 4: Simplify right side
    415.79x = 169,905.63
  5. Step 5: Solve for x
    x = 169,905.63/415.79
  6. Step 6: Final answer
    x = 408.63

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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.