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Finding the Fourth Proportional to 513.27, 768.02 and 307.98

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Solution

The fourth proportional to 513.27, 768.02 and 307.98 is: 460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.27 : 768.02 = 307.98 : x
  2. Step 2: Convert to fraction form
    513.27/768.02 = 307.98/x
  3. Step 3: Cross multiply
    513.27x = 768.02 × 307.98
  4. Step 4: Simplify right side
    513.27x = 236,533.26
  5. Step 5: Solve for x
    x = 236,533.26/513.27
  6. Step 6: Final answer
    x = 460.84

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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.