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Finding the Fourth Proportional to 778.62, 1,074.48 and 483.78

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Solution

The fourth proportional to 778.62, 1,074.48 and 483.78 is: 667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.62 : 1,074.48 = 483.78 : x
  2. Step 2: Convert to fraction form
    778.62/1,074.48 = 483.78/x
  3. Step 3: Cross multiply
    778.62x = 1,074.48 × 483.78
  4. Step 4: Simplify right side
    778.62x = 519,811.93
  5. Step 5: Solve for x
    x = 519,811.93/778.62
  6. Step 6: Final answer
    x = 667.61

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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.