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Finding the Fourth Proportional to 778.42, 1,074.18 and 446.60

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Solution

The fourth proportional to 778.42, 1,074.18 and 446.60 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,074.18 = 446.60 : x
  2. Step 2: Convert to fraction form
    778.42/1,074.18 = 446.60/x
  3. Step 3: Cross multiply
    778.42x = 1,074.18 × 446.60
  4. Step 4: Simplify right side
    778.42x = 479,733.15
  5. Step 5: Solve for x
    x = 479,733.15/778.42
  6. Step 6: Final answer
    x = 616.29

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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.