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Finding the Fourth Proportional to 674.10, 930.12 and 438.09

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Solution

The fourth proportional to 674.10, 930.12 and 438.09 is: 604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 930.12 = 438.09 : x
  2. Step 2: Convert to fraction form
    674.10/930.12 = 438.09/x
  3. Step 3: Cross multiply
    674.10x = 930.12 × 438.09
  4. Step 4: Simplify right side
    674.10x = 407,476.27
  5. Step 5: Solve for x
    x = 407,476.27/674.10
  6. Step 6: Final answer
    x = 604.47

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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.