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Finding the Fourth Proportional to 449.07, 669 and 421.13

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Solution

The fourth proportional to 449.07, 669 and 421.13 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.07 : 669 = 421.13 : x
  2. Step 2: Convert to fraction form
    449.07/669 = 421.13/x
  3. Step 3: Cross multiply
    449.07x = 669 × 421.13
  4. Step 4: Simplify right side
    449.07x = 281,732.63
  5. Step 5: Solve for x
    x = 281,732.63/449.07
  6. Step 6: Final answer
    x = 627.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.