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Finding the Fourth Proportional to 576.86, 796.05 and 314.87

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Solution

The fourth proportional to 576.86, 796.05 and 314.87 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.86 : 796.05 = 314.87 : x
  2. Step 2: Convert to fraction form
    576.86/796.05 = 314.87/x
  3. Step 3: Cross multiply
    576.86x = 796.05 × 314.87
  4. Step 4: Simplify right side
    576.86x = 250,648.28
  5. Step 5: Solve for x
    x = 250,648.28/576.86
  6. Step 6: Final answer
    x = 434.51

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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.