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Finding the Fourth Proportional to 414.68, 618.93 and 348.44

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Solution

The fourth proportional to 414.68, 618.93 and 348.44 is: 520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 618.93 = 348.44 : x
  2. Step 2: Convert to fraction form
    414.68/618.93 = 348.44/x
  3. Step 3: Cross multiply
    414.68x = 618.93 × 348.44
  4. Step 4: Simplify right side
    414.68x = 215,659.97
  5. Step 5: Solve for x
    x = 215,659.97/414.68
  6. Step 6: Final answer
    x = 520.06

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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.