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Finding the Fourth Proportional to 674.11, 929.64 and 421.73

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Solution

The fourth proportional to 674.11, 929.64 and 421.73 is: 581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.11 : 929.64 = 421.73 : x
  2. Step 2: Convert to fraction form
    674.11/929.64 = 421.73/x
  3. Step 3: Cross multiply
    674.11x = 929.64 × 421.73
  4. Step 4: Simplify right side
    674.11x = 392,057.08
  5. Step 5: Solve for x
    x = 392,057.08/674.11
  6. Step 6: Final answer
    x = 581.59

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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.