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Finding the Fourth Proportional to 682.71, 943.09 and 657.43

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Solution

The fourth proportional to 682.71, 943.09 and 657.43 is: 908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 943.09 = 657.43 : x
  2. Step 2: Convert to fraction form
    682.71/943.09 = 657.43/x
  3. Step 3: Cross multiply
    682.71x = 943.09 × 657.43
  4. Step 4: Simplify right side
    682.71x = 620,011.66
  5. Step 5: Solve for x
    x = 620,011.66/682.71
  6. Step 6: Final answer
    x = 908.16

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1.5x scale

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.