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Finding the Fourth Proportional to 513.99, 771.18 and 308.71

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Solution

The fourth proportional to 513.99, 771.18 and 308.71 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 771.18 = 308.71 : x
  2. Step 2: Convert to fraction form
    513.99/771.18 = 308.71/x
  3. Step 3: Cross multiply
    513.99x = 771.18 × 308.71
  4. Step 4: Simplify right side
    513.99x = 238,065.58
  5. Step 5: Solve for x
    x = 238,065.58/513.99
  6. Step 6: Final answer
    x = 463.17

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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.