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Finding the Fourth Proportional to 639.61, 882.75 and 415.48

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Solution

The fourth proportional to 639.61, 882.75 and 415.48 is: 573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.61 : 882.75 = 415.48 : x
  2. Step 2: Convert to fraction form
    639.61/882.75 = 415.48/x
  3. Step 3: Cross multiply
    639.61x = 882.75 × 415.48
  4. Step 4: Simplify right side
    639.61x = 366,764.97
  5. Step 5: Solve for x
    x = 366,764.97/639.61
  6. Step 6: Final answer
    x = 573.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.