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Finding the Fourth Proportional to 449.67, 670.68 and 441.88

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Solution

The fourth proportional to 449.67, 670.68 and 441.88 is: 659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.67 : 670.68 = 441.88 : x
  2. Step 2: Convert to fraction form
    449.67/670.68 = 441.88/x
  3. Step 3: Cross multiply
    449.67x = 670.68 × 441.88
  4. Step 4: Simplify right side
    449.67x = 296,360.08
  5. Step 5: Solve for x
    x = 296,360.08/449.67
  6. Step 6: Final answer
    x = 659.06

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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.