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Finding the Fourth Proportional to 451.65, 673.82 and 411.29

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Solution

The fourth proportional to 451.65, 673.82 and 411.29 is: 613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 673.82 = 411.29 : x
  2. Step 2: Convert to fraction form
    451.65/673.82 = 411.29/x
  3. Step 3: Cross multiply
    451.65x = 673.82 × 411.29
  4. Step 4: Simplify right side
    451.65x = 277,133.09
  5. Step 5: Solve for x
    x = 277,133.09/451.65
  6. Step 6: Final answer
    x = 613.60

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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.