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Finding the Fourth Proportional to 513.15, 768.44 and 317.35

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Solution

The fourth proportional to 513.15, 768.44 and 317.35 is: 475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 768.44 = 317.35 : x
  2. Step 2: Convert to fraction form
    513.15/768.44 = 317.35/x
  3. Step 3: Cross multiply
    513.15x = 768.44 × 317.35
  4. Step 4: Simplify right side
    513.15x = 243,860.59
  5. Step 5: Solve for x
    x = 243,860.59/513.15
  6. Step 6: Final answer
    x = 475.22

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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.