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Finding the Fourth Proportional to 681.90, 934.97 and 665.49

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Solution

The fourth proportional to 681.90, 934.97 and 665.49 is: 912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 934.97 = 665.49 : x
  2. Step 2: Convert to fraction form
    681.90/934.97 = 665.49/x
  3. Step 3: Cross multiply
    681.90x = 934.97 × 665.49
  4. Step 4: Simplify right side
    681.90x = 622,213.19
  5. Step 5: Solve for x
    x = 622,213.19/681.90
  6. Step 6: Final answer
    x = 912.47

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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.