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Finding the Fourth Proportional to 493.12, 680.78 and 375.17

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Solution

The fourth proportional to 493.12, 680.78 and 375.17 is: 517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.12 : 680.78 = 375.17 : x
  2. Step 2: Convert to fraction form
    493.12/680.78 = 375.17/x
  3. Step 3: Cross multiply
    493.12x = 680.78 × 375.17
  4. Step 4: Simplify right side
    493.12x = 255,406.36
  5. Step 5: Solve for x
    x = 255,406.36/493.12
  6. Step 6: Final answer
    x = 517.94

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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.