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Finding the Fourth Proportional to 788.43, 1,086.67 and 578.17

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Solution

The fourth proportional to 788.43, 1,086.67 and 578.17 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.43 : 1,086.67 = 578.17 : x
  2. Step 2: Convert to fraction form
    788.43/1,086.67 = 578.17/x
  3. Step 3: Cross multiply
    788.43x = 1,086.67 × 578.17
  4. Step 4: Simplify right side
    788.43x = 628,278.82
  5. Step 5: Solve for x
    x = 628,278.82/788.43
  6. Step 6: Final answer
    x = 796.87

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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.