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Finding the Fourth Proportional to 418.60, 623.59 and 405.85

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Solution

The fourth proportional to 418.60, 623.59 and 405.85 is: 604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.60 : 623.59 = 405.85 : x
  2. Step 2: Convert to fraction form
    418.60/623.59 = 405.85/x
  3. Step 3: Cross multiply
    418.60x = 623.59 × 405.85
  4. Step 4: Simplify right side
    418.60x = 253,081.97
  5. Step 5: Solve for x
    x = 253,081.97/418.60
  6. Step 6: Final answer
    x = 604.59

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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.