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Finding the Fourth Proportional to 515.93, 773.63 and 150.62

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Solution

The fourth proportional to 515.93, 773.63 and 150.62 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.93 : 773.63 = 150.62 : x
  2. Step 2: Convert to fraction form
    515.93/773.63 = 150.62/x
  3. Step 3: Cross multiply
    515.93x = 773.63 × 150.62
  4. Step 4: Simplify right side
    515.93x = 116,520.09
  5. Step 5: Solve for x
    x = 116,520.09/515.93
  6. Step 6: Final answer
    x = 225.85

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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.