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Finding the Fourth Proportional to 943.86, 1,411.75 and 680.92

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Solution

The fourth proportional to 943.86, 1,411.75 and 680.92 is: 1,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.86 : 1,411.75 = 680.92 : x
  2. Step 2: Convert to fraction form
    943.86/1,411.75 = 680.92/x
  3. Step 3: Cross multiply
    943.86x = 1,411.75 × 680.92
  4. Step 4: Simplify right side
    943.86x = 961,286.13
  5. Step 5: Solve for x
    x = 961,286.13/943.86
  6. Step 6: Final answer
    x = 1,018.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.