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Finding the Fourth Proportional to 680.35, 938.50 and 493.62

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Solution

The fourth proportional to 680.35, 938.50 and 493.62 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.35 : 938.50 = 493.62 : x
  2. Step 2: Convert to fraction form
    680.35/938.50 = 493.62/x
  3. Step 3: Cross multiply
    680.35x = 938.50 × 493.62
  4. Step 4: Simplify right side
    680.35x = 463,262.37
  5. Step 5: Solve for x
    x = 463,262.37/680.35
  6. Step 6: Final answer
    x = 680.92

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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.