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Finding the Fourth Proportional to 415.48, 622.68 and 409

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Solution

The fourth proportional to 415.48, 622.68 and 409 is: 612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.48 : 622.68 = 409 : x
  2. Step 2: Convert to fraction form
    415.48/622.68 = 409/x
  3. Step 3: Cross multiply
    415.48x = 622.68 × 409
  4. Step 4: Simplify right side
    415.48x = 254,676.12
  5. Step 5: Solve for x
    x = 254,676.12/415.48
  6. Step 6: Final answer
    x = 612.97

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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.