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Finding the Fourth Proportional to 674.66, 930.84 and 422.62

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Solution

The fourth proportional to 674.66, 930.84 and 422.62 is: 583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.66 : 930.84 = 422.62 : x
  2. Step 2: Convert to fraction form
    674.66/930.84 = 422.62/x
  3. Step 3: Cross multiply
    674.66x = 930.84 × 422.62
  4. Step 4: Simplify right side
    674.66x = 393,391.25
  5. Step 5: Solve for x
    x = 393,391.25/674.66
  6. Step 6: Final answer
    x = 583.09

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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.