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Finding the Fourth Proportional to 680.33, 937.76 and 493.56

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Solution

The fourth proportional to 680.33, 937.76 and 493.56 is: 680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.33 : 937.76 = 493.56 : x
  2. Step 2: Convert to fraction form
    680.33/937.76 = 493.56/x
  3. Step 3: Cross multiply
    680.33x = 937.76 × 493.56
  4. Step 4: Simplify right side
    680.33x = 462,838.36
  5. Step 5: Solve for x
    x = 462,838.36/680.33
  6. Step 6: Final answer
    x = 680.32

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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.