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Finding the Fourth Proportional to 674.15, 930.35 and 394.34

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Solution

The fourth proportional to 674.15, 930.35 and 394.34 is: 544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.15 : 930.35 = 394.34 : x
  2. Step 2: Convert to fraction form
    674.15/930.35 = 394.34/x
  3. Step 3: Cross multiply
    674.15x = 930.35 × 394.34
  4. Step 4: Simplify right side
    674.15x = 366,874.22
  5. Step 5: Solve for x
    x = 366,874.22/674.15
  6. Step 6: Final answer
    x = 544.20

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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.