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Finding the Fourth Proportional to 449.04, 676.70 and 421.68

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Solution

The fourth proportional to 449.04, 676.70 and 421.68 is: 635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 676.70 = 421.68 : x
  2. Step 2: Convert to fraction form
    449.04/676.70 = 421.68/x
  3. Step 3: Cross multiply
    449.04x = 676.70 × 421.68
  4. Step 4: Simplify right side
    449.04x = 285,348.75
  5. Step 5: Solve for x
    x = 285,348.75/449.04
  6. Step 6: Final answer
    x = 635.46

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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.