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Finding the Fourth Proportional to 414.06, 616.94 and 393.18

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Solution

The fourth proportional to 414.06, 616.94 and 393.18 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 616.94 = 393.18 : x
  2. Step 2: Convert to fraction form
    414.06/616.94 = 393.18/x
  3. Step 3: Cross multiply
    414.06x = 616.94 × 393.18
  4. Step 4: Simplify right side
    414.06x = 242,566.50
  5. Step 5: Solve for x
    x = 242,566.50/414.06
  6. Step 6: Final answer
    x = 585.82

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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.