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Finding the Fourth Proportional to 687.66, 941.49 and 680.97

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Solution

The fourth proportional to 687.66, 941.49 and 680.97 is: 932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.66 : 941.49 = 680.97 : x
  2. Step 2: Convert to fraction form
    687.66/941.49 = 680.97/x
  3. Step 3: Cross multiply
    687.66x = 941.49 × 680.97
  4. Step 4: Simplify right side
    687.66x = 641,126.45
  5. Step 5: Solve for x
    x = 641,126.45/687.66
  6. Step 6: Final answer
    x = 932.33

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1.5x scale

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.