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Finding the Fourth Proportional to 414.73, 618.96 and 384.63

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Solution

The fourth proportional to 414.73, 618.96 and 384.63 is: 574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.73 : 618.96 = 384.63 : x
  2. Step 2: Convert to fraction form
    414.73/618.96 = 384.63/x
  3. Step 3: Cross multiply
    414.73x = 618.96 × 384.63
  4. Step 4: Simplify right side
    414.73x = 238,070.58
  5. Step 5: Solve for x
    x = 238,070.58/414.73
  6. Step 6: Final answer
    x = 574.04

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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.