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Finding the Fourth Proportional to 680.46, 937.14 and 636.54

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Solution

The fourth proportional to 680.46, 937.14 and 636.54 is: 876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.46 : 937.14 = 636.54 : x
  2. Step 2: Convert to fraction form
    680.46/937.14 = 636.54/x
  3. Step 3: Cross multiply
    680.46x = 937.14 × 636.54
  4. Step 4: Simplify right side
    680.46x = 596,527.10
  5. Step 5: Solve for x
    x = 596,527.10/680.46
  6. Step 6: Final answer
    x = 876.65

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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.