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Finding the Fourth Proportional to 674.13, 930.50 and 412.09

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Solution

The fourth proportional to 674.13, 930.50 and 412.09 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.13 : 930.50 = 412.09 : x
  2. Step 2: Convert to fraction form
    674.13/930.50 = 412.09/x
  3. Step 3: Cross multiply
    674.13x = 930.50 × 412.09
  4. Step 4: Simplify right side
    674.13x = 383,449.75
  5. Step 5: Solve for x
    x = 383,449.75/674.13
  6. Step 6: Final answer
    x = 568.81

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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.