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Finding the Fourth Proportional to 680.96, 938.63 and 459.53

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Solution

The fourth proportional to 680.96, 938.63 and 459.53 is: 633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.96 : 938.63 = 459.53 : x
  2. Step 2: Convert to fraction form
    680.96/938.63 = 459.53/x
  3. Step 3: Cross multiply
    680.96x = 938.63 × 459.53
  4. Step 4: Simplify right side
    680.96x = 431,323.95
  5. Step 5: Solve for x
    x = 431,323.95/680.96
  6. Step 6: Final answer
    x = 633.41

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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.