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Finding the Fourth Proportional to 680.94, 939.60 and 432.41

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Solution

The fourth proportional to 680.94, 939.60 and 432.41 is: 596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 939.60 = 432.41 : x
  2. Step 2: Convert to fraction form
    680.94/939.60 = 432.41/x
  3. Step 3: Cross multiply
    680.94x = 939.60 × 432.41
  4. Step 4: Simplify right side
    680.94x = 406,287.74
  5. Step 5: Solve for x
    x = 406,287.74/680.94
  6. Step 6: Final answer
    x = 596.66

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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.