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Finding the Fourth Proportional to 778.62, 1,074.42 and 447.06

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Solution

The fourth proportional to 778.62, 1,074.42 and 447.06 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.62 : 1,074.42 = 447.06 : x
  2. Step 2: Convert to fraction form
    778.62/1,074.42 = 447.06/x
  3. Step 3: Cross multiply
    778.62x = 1,074.42 × 447.06
  4. Step 4: Simplify right side
    778.62x = 480,330.21
  5. Step 5: Solve for x
    x = 480,330.21/778.62
  6. Step 6: Final answer
    x = 616.90

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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.