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Finding the Fourth Proportional to 674.24, 928.41 and 575.78

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Solution

The fourth proportional to 674.24, 928.41 and 575.78 is: 792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.24 : 928.41 = 575.78 : x
  2. Step 2: Convert to fraction form
    674.24/928.41 = 575.78/x
  3. Step 3: Cross multiply
    674.24x = 928.41 × 575.78
  4. Step 4: Simplify right side
    674.24x = 534,559.91
  5. Step 5: Solve for x
    x = 534,559.91/674.24
  6. Step 6: Final answer
    x = 792.83

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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.