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Finding the Fourth Proportional to 635.56, 876.54 and 414.34

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Solution

The fourth proportional to 635.56, 876.54 and 414.34 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.56 : 876.54 = 414.34 : x
  2. Step 2: Convert to fraction form
    635.56/876.54 = 414.34/x
  3. Step 3: Cross multiply
    635.56x = 876.54 × 414.34
  4. Step 4: Simplify right side
    635.56x = 363,185.58
  5. Step 5: Solve for x
    x = 363,185.58/635.56
  6. Step 6: Final answer
    x = 571.44

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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.