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Finding the Fourth Proportional to 576.96, 796.21 and 314.98

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Solution

The fourth proportional to 576.96, 796.21 and 314.98 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 796.21 = 314.98 : x
  2. Step 2: Convert to fraction form
    576.96/796.21 = 314.98/x
  3. Step 3: Cross multiply
    576.96x = 796.21 × 314.98
  4. Step 4: Simplify right side
    576.96x = 250,790.23
  5. Step 5: Solve for x
    x = 250,790.23/576.96
  6. Step 6: Final answer
    x = 434.68

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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.