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Finding the Fourth Proportional to 414.93, 622.40 and 385.77

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Solution

The fourth proportional to 414.93, 622.40 and 385.77 is: 578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.93 : 622.40 = 385.77 : x
  2. Step 2: Convert to fraction form
    414.93/622.40 = 385.77/x
  3. Step 3: Cross multiply
    414.93x = 622.40 × 385.77
  4. Step 4: Simplify right side
    414.93x = 240,103.25
  5. Step 5: Solve for x
    x = 240,103.25/414.93
  6. Step 6: Final answer
    x = 578.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.