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Finding the Fourth Proportional to 453.92, 677.92 and 428.96

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Solution

The fourth proportional to 453.92, 677.92 and 428.96 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 677.92 = 428.96 : x
  2. Step 2: Convert to fraction form
    453.92/677.92 = 428.96/x
  3. Step 3: Cross multiply
    453.92x = 677.92 × 428.96
  4. Step 4: Simplify right side
    453.92x = 290,800.56
  5. Step 5: Solve for x
    x = 290,800.56/453.92
  6. Step 6: Final answer
    x = 640.64

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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.