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Finding the Fourth Proportional to 635.22, 876.31 and 414.09

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Solution

The fourth proportional to 635.22, 876.31 and 414.09 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 876.31 = 414.09 : x
  2. Step 2: Convert to fraction form
    635.22/876.31 = 414.09/x
  3. Step 3: Cross multiply
    635.22x = 876.31 × 414.09
  4. Step 4: Simplify right side
    635.22x = 362,871.21
  5. Step 5: Solve for x
    x = 362,871.21/635.22
  6. Step 6: Final answer
    x = 571.25

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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.