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Finding the Fourth Proportional to 461.05, 636.35 and 414.34

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Solution

The fourth proportional to 461.05, 636.35 and 414.34 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 636.35 = 414.34 : x
  2. Step 2: Convert to fraction form
    461.05/636.35 = 414.34/x
  3. Step 3: Cross multiply
    461.05x = 636.35 × 414.34
  4. Step 4: Simplify right side
    461.05x = 263,661.60
  5. Step 5: Solve for x
    x = 263,661.60/461.05
  6. Step 6: Final answer
    x = 571.88

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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.