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Finding the Fourth Proportional to 995.92, 1,494.42 and 418.78

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Solution

The fourth proportional to 995.92, 1,494.42 and 418.78 is: 628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.92 : 1,494.42 = 418.78 : x
  2. Step 2: Convert to fraction form
    995.92/1,494.42 = 418.78/x
  3. Step 3: Cross multiply
    995.92x = 1,494.42 × 418.78
  4. Step 4: Simplify right side
    995.92x = 625,833.21
  5. Step 5: Solve for x
    x = 625,833.21/995.92
  6. Step 6: Final answer
    x = 628.40

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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.