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Finding the Fourth Proportional to 453.81, 677.45 and 421.69

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Solution

The fourth proportional to 453.81, 677.45 and 421.69 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.81 : 677.45 = 421.69 : x
  2. Step 2: Convert to fraction form
    453.81/677.45 = 421.69/x
  3. Step 3: Cross multiply
    453.81x = 677.45 × 421.69
  4. Step 4: Simplify right side
    453.81x = 285,673.25
  5. Step 5: Solve for x
    x = 285,673.25/453.81
  6. Step 6: Final answer
    x = 629.50

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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.