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Finding the Fourth Proportional to 680.78, 937.81 and 493.72

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Solution

The fourth proportional to 680.78, 937.81 and 493.72 is: 680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.78 : 937.81 = 493.72 : x
  2. Step 2: Convert to fraction form
    680.78/937.81 = 493.72/x
  3. Step 3: Cross multiply
    680.78x = 937.81 × 493.72
  4. Step 4: Simplify right side
    680.78x = 463,015.55
  5. Step 5: Solve for x
    x = 463,015.55/680.78
  6. Step 6: Final answer
    x = 680.13

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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.