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Finding the Fourth Proportional to 418.89, 624.78 and 411.60

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Solution

The fourth proportional to 418.89, 624.78 and 411.60 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.89 : 624.78 = 411.60 : x
  2. Step 2: Convert to fraction form
    418.89/624.78 = 411.60/x
  3. Step 3: Cross multiply
    418.89x = 624.78 × 411.60
  4. Step 4: Simplify right side
    418.89x = 257,159.45
  5. Step 5: Solve for x
    x = 257,159.45/418.89
  6. Step 6: Final answer
    x = 613.91

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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.