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Finding the Fourth Proportional to 789.35, 1,181.49 and 441.86

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Solution

The fourth proportional to 789.35, 1,181.49 and 441.86 is: 661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.35 : 1,181.49 = 441.86 : x
  2. Step 2: Convert to fraction form
    789.35/1,181.49 = 441.86/x
  3. Step 3: Cross multiply
    789.35x = 1,181.49 × 441.86
  4. Step 4: Simplify right side
    789.35x = 522,045.61
  5. Step 5: Solve for x
    x = 522,045.61/789.35
  6. Step 6: Final answer
    x = 661.37

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1.5x scale

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.