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Finding the Fourth Proportional to 515.43, 773.30 and 310.25

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Solution

The fourth proportional to 515.43, 773.30 and 310.25 is: 465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.43 : 773.30 = 310.25 : x
  2. Step 2: Convert to fraction form
    515.43/773.30 = 310.25/x
  3. Step 3: Cross multiply
    515.43x = 773.30 × 310.25
  4. Step 4: Simplify right side
    515.43x = 239,912.94
  5. Step 5: Solve for x
    x = 239,912.94/515.43
  6. Step 6: Final answer
    x = 465.46

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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.