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Finding the Fourth Proportional to 414.30, 617.40 and 402.44

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Solution

The fourth proportional to 414.30, 617.40 and 402.44 is: 599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 617.40 = 402.44 : x
  2. Step 2: Convert to fraction form
    414.30/617.40 = 402.44/x
  3. Step 3: Cross multiply
    414.30x = 617.40 × 402.44
  4. Step 4: Simplify right side
    414.30x = 248,466.46
  5. Step 5: Solve for x
    x = 248,466.46/414.30
  6. Step 6: Final answer
    x = 599.73

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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.