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Finding the Fourth Proportional to 995.57, 1,493.99 and 418.44

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Solution

The fourth proportional to 995.57, 1,493.99 and 418.44 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.57 : 1,493.99 = 418.44 : x
  2. Step 2: Convert to fraction form
    995.57/1,493.99 = 418.44/x
  3. Step 3: Cross multiply
    995.57x = 1,493.99 × 418.44
  4. Step 4: Simplify right side
    995.57x = 625,143.08
  5. Step 5: Solve for x
    x = 625,143.08/995.57
  6. Step 6: Final answer
    x = 627.93

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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.