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Finding the Fourth Proportional to 449.82, 670.12 and 421.88

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Solution

The fourth proportional to 449.82, 670.12 and 421.88 is: 628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.82 : 670.12 = 421.88 : x
  2. Step 2: Convert to fraction form
    449.82/670.12 = 421.88/x
  3. Step 3: Cross multiply
    449.82x = 670.12 × 421.88
  4. Step 4: Simplify right side
    449.82x = 282,704.77
  5. Step 5: Solve for x
    x = 282,704.77/449.82
  6. Step 6: Final answer
    x = 628.48

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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.