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Finding the Fourth Proportional to 515.94, 773.97 and 400.23

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Solution

The fourth proportional to 515.94, 773.97 and 400.23 is: 600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.94 : 773.97 = 400.23 : x
  2. Step 2: Convert to fraction form
    515.94/773.97 = 400.23/x
  3. Step 3: Cross multiply
    515.94x = 773.97 × 400.23
  4. Step 4: Simplify right side
    515.94x = 309,766.01
  5. Step 5: Solve for x
    x = 309,766.01/515.94
  6. Step 6: Final answer
    x = 600.39

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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.