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Finding the Fourth Proportional to 674.51, 930.64 and 408.73

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Solution

The fourth proportional to 674.51, 930.64 and 408.73 is: 563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 930.64 = 408.73 : x
  2. Step 2: Convert to fraction form
    674.51/930.64 = 408.73/x
  3. Step 3: Cross multiply
    674.51x = 930.64 × 408.73
  4. Step 4: Simplify right side
    674.51x = 380,379.65
  5. Step 5: Solve for x
    x = 380,379.65/674.51
  6. Step 6: Final answer
    x = 563.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.