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Finding the Fourth Proportional to 766.89, 1,149.53 and 441.68

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Solution

The fourth proportional to 766.89, 1,149.53 and 441.68 is: 662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,149.53 = 441.68 : x
  2. Step 2: Convert to fraction form
    766.89/1,149.53 = 441.68/x
  3. Step 3: Cross multiply
    766.89x = 1,149.53 × 441.68
  4. Step 4: Simplify right side
    766.89x = 507,716.45
  5. Step 5: Solve for x
    x = 507,716.45/766.89
  6. Step 6: Final answer
    x = 662.05

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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.