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Finding the Fourth Proportional to 674.22, 929.97 and 411.78

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Solution

The fourth proportional to 674.22, 929.97 and 411.78 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.22 : 929.97 = 411.78 : x
  2. Step 2: Convert to fraction form
    674.22/929.97 = 411.78/x
  3. Step 3: Cross multiply
    674.22x = 929.97 × 411.78
  4. Step 4: Simplify right side
    674.22x = 382,943.05
  5. Step 5: Solve for x
    x = 382,943.05/674.22
  6. Step 6: Final answer
    x = 567.98

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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.