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Finding the Fourth Proportional to 418.92, 624.64 and 411.64

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Solution

The fourth proportional to 418.92, 624.64 and 411.64 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.92 : 624.64 = 411.64 : x
  2. Step 2: Convert to fraction form
    418.92/624.64 = 411.64/x
  3. Step 3: Cross multiply
    418.92x = 624.64 × 411.64
  4. Step 4: Simplify right side
    418.92x = 257,126.81
  5. Step 5: Solve for x
    x = 257,126.81/418.92
  6. Step 6: Final answer
    x = 613.78

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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.