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Finding the Fourth Proportional to 995.32, 1,492.08 and 447.22

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Solution

The fourth proportional to 995.32, 1,492.08 and 447.22 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.32 : 1,492.08 = 447.22 : x
  2. Step 2: Convert to fraction form
    995.32/1,492.08 = 447.22/x
  3. Step 3: Cross multiply
    995.32x = 1,492.08 × 447.22
  4. Step 4: Simplify right side
    995.32x = 667,288.02
  5. Step 5: Solve for x
    x = 667,288.02/995.32
  6. Step 6: Final answer
    x = 670.43

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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.