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Finding the Fourth Proportional to 414.65, 617.94 and 402.14

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Solution

The fourth proportional to 414.65, 617.94 and 402.14 is: 599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.65 : 617.94 = 402.14 : x
  2. Step 2: Convert to fraction form
    414.65/617.94 = 402.14/x
  3. Step 3: Cross multiply
    414.65x = 617.94 × 402.14
  4. Step 4: Simplify right side
    414.65x = 248,498.39
  5. Step 5: Solve for x
    x = 248,498.39/414.65
  6. Step 6: Final answer
    x = 599.30

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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.