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Finding the Fourth Proportional to 995.87, 1,493.87 and 265.46

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Solution

The fourth proportional to 995.87, 1,493.87 and 265.46 is: 398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.87 : 1,493.87 = 265.46 : x
  2. Step 2: Convert to fraction form
    995.87/1,493.87 = 265.46/x
  3. Step 3: Cross multiply
    995.87x = 1,493.87 × 265.46
  4. Step 4: Simplify right side
    995.87x = 396,553.93
  5. Step 5: Solve for x
    x = 396,553.93/995.87
  6. Step 6: Final answer
    x = 398.20

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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.