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Finding the Fourth Proportional to 778.56, 1,074.45 and 447.05

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Solution

The fourth proportional to 778.56, 1,074.45 and 447.05 is: 616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,074.45 = 447.05 : x
  2. Step 2: Convert to fraction form
    778.56/1,074.45 = 447.05/x
  3. Step 3: Cross multiply
    778.56x = 1,074.45 × 447.05
  4. Step 4: Simplify right side
    778.56x = 480,327.50
  5. Step 5: Solve for x
    x = 480,327.50/778.56
  6. Step 6: Final answer
    x = 616.94

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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.