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Finding the Fourth Proportional to 449.11, 667.79 and 430.66

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Solution

The fourth proportional to 449.11, 667.79 and 430.66 is: 640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.11 : 667.79 = 430.66 : x
  2. Step 2: Convert to fraction form
    449.11/667.79 = 430.66/x
  3. Step 3: Cross multiply
    449.11x = 667.79 × 430.66
  4. Step 4: Simplify right side
    449.11x = 287,592.69
  5. Step 5: Solve for x
    x = 287,592.69/449.11
  6. Step 6: Final answer
    x = 640.36

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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.