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Finding the Fourth Proportional to 682.72, 934.61 and 680.44

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Solution

The fourth proportional to 682.72, 934.61 and 680.44 is: 931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.72 : 934.61 = 680.44 : x
  2. Step 2: Convert to fraction form
    682.72/934.61 = 680.44/x
  3. Step 3: Cross multiply
    682.72x = 934.61 × 680.44
  4. Step 4: Simplify right side
    682.72x = 635,946.03
  5. Step 5: Solve for x
    x = 635,946.03/682.72
  6. Step 6: Final answer
    x = 931.49

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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.