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Finding the Fourth Proportional to 453.96, 676.13 and 451.64

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Solution

The fourth proportional to 453.96, 676.13 and 451.64 is: 672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 676.13 = 451.64 : x
  2. Step 2: Convert to fraction form
    453.96/676.13 = 451.64/x
  3. Step 3: Cross multiply
    453.96x = 676.13 × 451.64
  4. Step 4: Simplify right side
    453.96x = 305,366.79
  5. Step 5: Solve for x
    x = 305,366.79/453.96
  6. Step 6: Final answer
    x = 672.67

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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.