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Finding the Fourth Proportional to 682.92, 943.26 and 678.12

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Solution

The fourth proportional to 682.92, 943.26 and 678.12 is: 936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.92 : 943.26 = 678.12 : x
  2. Step 2: Convert to fraction form
    682.92/943.26 = 678.12/x
  3. Step 3: Cross multiply
    682.92x = 943.26 × 678.12
  4. Step 4: Simplify right side
    682.92x = 639,643.47
  5. Step 5: Solve for x
    x = 639,643.47/682.92
  6. Step 6: Final answer
    x = 936.63

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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.