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Finding the Fourth Proportional to 995.68, 1,493.46 and 311.68

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Solution

The fourth proportional to 995.68, 1,493.46 and 311.68 is: 467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.68 : 1,493.46 = 311.68 : x
  2. Step 2: Convert to fraction form
    995.68/1,493.46 = 311.68/x
  3. Step 3: Cross multiply
    995.68x = 1,493.46 × 311.68
  4. Step 4: Simplify right side
    995.68x = 465,481.61
  5. Step 5: Solve for x
    x = 465,481.61/995.68
  6. Step 6: Final answer
    x = 467.50

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1.5x scale

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.