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Finding the Fourth Proportional to 519, 773.10 and 495.72

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Solution

The fourth proportional to 519, 773.10 and 495.72 is: 738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 773.10 = 495.72 : x
  2. Step 2: Convert to fraction form
    519/773.10 = 495.72/x
  3. Step 3: Cross multiply
    519x = 773.10 × 495.72
  4. Step 4: Simplify right side
    519x = 383,241.13
  5. Step 5: Solve for x
    x = 383,241.13/519
  6. Step 6: Final answer
    x = 738.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.