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Finding the Fourth Proportional to 418.62, 623.22 and 401.88

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Solution

The fourth proportional to 418.62, 623.22 and 401.88 is: 598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.62 : 623.22 = 401.88 : x
  2. Step 2: Convert to fraction form
    418.62/623.22 = 401.88/x
  3. Step 3: Cross multiply
    418.62x = 623.22 × 401.88
  4. Step 4: Simplify right side
    418.62x = 250,459.65
  5. Step 5: Solve for x
    x = 250,459.65/418.62
  6. Step 6: Final answer
    x = 598.30

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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.