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Finding the Fourth Proportional to 680.68, 939.38 and 385.98

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Solution

The fourth proportional to 680.68, 939.38 and 385.98 is: 532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 939.38 = 385.98 : x
  2. Step 2: Convert to fraction form
    680.68/939.38 = 385.98/x
  3. Step 3: Cross multiply
    680.68x = 939.38 × 385.98
  4. Step 4: Simplify right side
    680.68x = 362,581.89
  5. Step 5: Solve for x
    x = 362,581.89/680.68
  6. Step 6: Final answer
    x = 532.68

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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.