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Finding the Fourth Proportional to 778.13, 1,074.01 and 446.73

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Solution

The fourth proportional to 778.13, 1,074.01 and 446.73 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.13 : 1,074.01 = 446.73 : x
  2. Step 2: Convert to fraction form
    778.13/1,074.01 = 446.73/x
  3. Step 3: Cross multiply
    778.13x = 1,074.01 × 446.73
  4. Step 4: Simplify right side
    778.13x = 479,792.49
  5. Step 5: Solve for x
    x = 479,792.49/778.13
  6. Step 6: Final answer
    x = 616.60

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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.