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Finding the Fourth Proportional to 680.43, 932.68 and 670.84

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Solution

The fourth proportional to 680.43, 932.68 and 670.84 is: 919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.43 : 932.68 = 670.84 : x
  2. Step 2: Convert to fraction form
    680.43/932.68 = 670.84/x
  3. Step 3: Cross multiply
    680.43x = 932.68 × 670.84
  4. Step 4: Simplify right side
    680.43x = 625,675.70
  5. Step 5: Solve for x
    x = 625,675.70/680.43
  6. Step 6: Final answer
    x = 919.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.