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Finding the Fourth Proportional to 414.42, 618.60 and 384.39

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Solution

The fourth proportional to 414.42, 618.60 and 384.39 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.42 : 618.60 = 384.39 : x
  2. Step 2: Convert to fraction form
    414.42/618.60 = 384.39/x
  3. Step 3: Cross multiply
    414.42x = 618.60 × 384.39
  4. Step 4: Simplify right side
    414.42x = 237,783.65
  5. Step 5: Solve for x
    x = 237,783.65/414.42
  6. Step 6: Final answer
    x = 573.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.