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Finding the Fourth Proportional to 513.93, 768.93 and 312.82

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Solution

The fourth proportional to 513.93, 768.93 and 312.82 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.93 : 768.93 = 312.82 : x
  2. Step 2: Convert to fraction form
    513.93/768.93 = 312.82/x
  3. Step 3: Cross multiply
    513.93x = 768.93 × 312.82
  4. Step 4: Simplify right side
    513.93x = 240,536.68
  5. Step 5: Solve for x
    x = 240,536.68/513.93
  6. Step 6: Final answer
    x = 468.03

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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.