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Finding the Fourth Proportional to 515.41, 772.13 and 306.73

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Solution

The fourth proportional to 515.41, 772.13 and 306.73 is: 459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.41 : 772.13 = 306.73 : x
  2. Step 2: Convert to fraction form
    515.41/772.13 = 306.73/x
  3. Step 3: Cross multiply
    515.41x = 772.13 × 306.73
  4. Step 4: Simplify right side
    515.41x = 236,835.43
  5. Step 5: Solve for x
    x = 236,835.43/515.41
  6. Step 6: Final answer
    x = 459.51

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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.