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Finding the Fourth Proportional to 513.54, 768.35 and 315.17

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Solution

The fourth proportional to 513.54, 768.35 and 315.17 is: 471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 768.35 = 315.17 : x
  2. Step 2: Convert to fraction form
    513.54/768.35 = 315.17/x
  3. Step 3: Cross multiply
    513.54x = 768.35 × 315.17
  4. Step 4: Simplify right side
    513.54x = 242,157.03
  5. Step 5: Solve for x
    x = 242,157.03/513.54
  6. Step 6: Final answer
    x = 471.55

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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.