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Finding the Fourth Proportional to 785.42, 1,176.78 and 716.84

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Solution

The fourth proportional to 785.42, 1,176.78 and 716.84 is: 1,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,176.78 = 716.84 : x
  2. Step 2: Convert to fraction form
    785.42/1,176.78 = 716.84/x
  3. Step 3: Cross multiply
    785.42x = 1,176.78 × 716.84
  4. Step 4: Simplify right side
    785.42x = 843,562.98
  5. Step 5: Solve for x
    x = 843,562.98/785.42
  6. Step 6: Final answer
    x = 1,074.03

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Why These Related Problems?

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