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Finding the Fourth Proportional to 636.22, 877.69 and 415.09

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Solution

The fourth proportional to 636.22, 877.69 and 415.09 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.22 : 877.69 = 415.09 : x
  2. Step 2: Convert to fraction form
    636.22/877.69 = 415.09/x
  3. Step 3: Cross multiply
    636.22x = 877.69 × 415.09
  4. Step 4: Simplify right side
    636.22x = 364,320.34
  5. Step 5: Solve for x
    x = 364,320.34/636.22
  6. Step 6: Final answer
    x = 572.63

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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.