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Finding the Fourth Proportional to 453.62, 677.09 and 421.52

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Solution

The fourth proportional to 453.62, 677.09 and 421.52 is: 629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.62 : 677.09 = 421.52 : x
  2. Step 2: Convert to fraction form
    453.62/677.09 = 421.52/x
  3. Step 3: Cross multiply
    453.62x = 677.09 × 421.52
  4. Step 4: Simplify right side
    453.62x = 285,406.98
  5. Step 5: Solve for x
    x = 285,406.98/453.62
  6. Step 6: Final answer
    x = 629.18

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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.