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Finding the Fourth Proportional to 674.37, 928.49 and 575.73

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Solution

The fourth proportional to 674.37, 928.49 and 575.73 is: 792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.37 : 928.49 = 575.73 : x
  2. Step 2: Convert to fraction form
    674.37/928.49 = 575.73/x
  3. Step 3: Cross multiply
    674.37x = 928.49 × 575.73
  4. Step 4: Simplify right side
    674.37x = 534,556.67
  5. Step 5: Solve for x
    x = 534,556.67/674.37
  6. Step 6: Final answer
    x = 792.68

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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.