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Finding the Fourth Proportional to 449.10, 668.64 and 443.76

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Solution

The fourth proportional to 449.10, 668.64 and 443.76 is: 660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.10 : 668.64 = 443.76 : x
  2. Step 2: Convert to fraction form
    449.10/668.64 = 443.76/x
  3. Step 3: Cross multiply
    449.10x = 668.64 × 443.76
  4. Step 4: Simplify right side
    449.10x = 296,715.69
  5. Step 5: Solve for x
    x = 296,715.69/449.10
  6. Step 6: Final answer
    x = 660.69

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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.