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Finding the Fourth Proportional to 418.05, 625.61 and 287.43

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Solution

The fourth proportional to 418.05, 625.61 and 287.43 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 625.61 = 287.43 : x
  2. Step 2: Convert to fraction form
    418.05/625.61 = 287.43/x
  3. Step 3: Cross multiply
    418.05x = 625.61 × 287.43
  4. Step 4: Simplify right side
    418.05x = 179,817.65
  5. Step 5: Solve for x
    x = 179,817.65/418.05
  6. Step 6: Final answer
    x = 430.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.