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Finding the Fourth Proportional to 684.96, 1,027.92 and 396.96

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Solution

The fourth proportional to 684.96, 1,027.92 and 396.96 is: 595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 1,027.92 = 396.96 : x
  2. Step 2: Convert to fraction form
    684.96/1,027.92 = 396.96/x
  3. Step 3: Cross multiply
    684.96x = 1,027.92 × 396.96
  4. Step 4: Simplify right side
    684.96x = 408,043.12
  5. Step 5: Solve for x
    x = 408,043.12/684.96
  6. Step 6: Final answer
    x = 595.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.