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Finding the Fourth Proportional to 453.90, 685.17 and 449.04

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Solution

The fourth proportional to 453.90, 685.17 and 449.04 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.90 : 685.17 = 449.04 : x
  2. Step 2: Convert to fraction form
    453.90/685.17 = 449.04/x
  3. Step 3: Cross multiply
    453.90x = 685.17 × 449.04
  4. Step 4: Simplify right side
    453.90x = 307,668.74
  5. Step 5: Solve for x
    x = 307,668.74/453.90
  6. Step 6: Final answer
    x = 677.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.