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Finding the Fourth Proportional to 493.20, 680.99 and 375.39

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Solution

The fourth proportional to 493.20, 680.99 and 375.39 is: 518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 680.99 = 375.39 : x
  2. Step 2: Convert to fraction form
    493.20/680.99 = 375.39/x
  3. Step 3: Cross multiply
    493.20x = 680.99 × 375.39
  4. Step 4: Simplify right side
    493.20x = 255,634.96
  5. Step 5: Solve for x
    x = 255,634.96/493.20
  6. Step 6: Final answer
    x = 518.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.