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Finding the Fourth Proportional to 414.78, 618.14 and 405.18

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Solution

The fourth proportional to 414.78, 618.14 and 405.18 is: 603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 618.14 = 405.18 : x
  2. Step 2: Convert to fraction form
    414.78/618.14 = 405.18/x
  3. Step 3: Cross multiply
    414.78x = 618.14 × 405.18
  4. Step 4: Simplify right side
    414.78x = 250,455.94
  5. Step 5: Solve for x
    x = 250,455.94/414.78
  6. Step 6: Final answer
    x = 603.83

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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.