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Finding the Fourth Proportional to 515.43, 773.15 and 311.45

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Solution

The fourth proportional to 515.43, 773.15 and 311.45 is: 467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.43 : 773.15 = 311.45 : x
  2. Step 2: Convert to fraction form
    515.43/773.15 = 311.45/x
  3. Step 3: Cross multiply
    515.43x = 773.15 × 311.45
  4. Step 4: Simplify right side
    515.43x = 240,792.14
  5. Step 5: Solve for x
    x = 240,792.14/515.43
  6. Step 6: Final answer
    x = 467.17

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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.