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Finding the Fourth Proportional to 418.08, 623.03 and 405.57

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Solution

The fourth proportional to 418.08, 623.03 and 405.57 is: 604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.08 : 623.03 = 405.57 : x
  2. Step 2: Convert to fraction form
    418.08/623.03 = 405.57/x
  3. Step 3: Cross multiply
    418.08x = 623.03 × 405.57
  4. Step 4: Simplify right side
    418.08x = 252,680.25
  5. Step 5: Solve for x
    x = 252,680.25/418.08
  6. Step 6: Final answer
    x = 604.38

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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.