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Finding the Fourth Proportional to 635.97, 877.04 and 414.84

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Solution

The fourth proportional to 635.97, 877.04 and 414.84 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.97 : 877.04 = 414.84 : x
  2. Step 2: Convert to fraction form
    635.97/877.04 = 414.84/x
  3. Step 3: Cross multiply
    635.97x = 877.04 × 414.84
  4. Step 4: Simplify right side
    635.97x = 363,829.20
  5. Step 5: Solve for x
    x = 363,829.20/635.97
  6. Step 6: Final answer
    x = 572.09

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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.