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Finding the Fourth Proportional to 421.76, 635.89 and 414.20

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Solution

The fourth proportional to 421.76, 635.89 and 414.20 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.76 : 635.89 = 414.20 : x
  2. Step 2: Convert to fraction form
    421.76/635.89 = 414.20/x
  3. Step 3: Cross multiply
    421.76x = 635.89 × 414.20
  4. Step 4: Simplify right side
    421.76x = 263,386.97
  5. Step 5: Solve for x
    x = 263,386.97/421.76
  6. Step 6: Final answer
    x = 624.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.