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Finding the Fourth Proportional to 461.69, 636.42 and 406.10

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Solution

The fourth proportional to 461.69, 636.42 and 406.10 is: 559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.69 : 636.42 = 406.10 : x
  2. Step 2: Convert to fraction form
    461.69/636.42 = 406.10/x
  3. Step 3: Cross multiply
    461.69x = 636.42 × 406.10
  4. Step 4: Simplify right side
    461.69x = 258,450.16
  5. Step 5: Solve for x
    x = 258,450.16/461.69
  6. Step 6: Final answer
    x = 559.79

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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.