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Finding the Fourth Proportional to 995.72, 1,492.43 and 495.14

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Solution

The fourth proportional to 995.72, 1,492.43 and 495.14 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.72 : 1,492.43 = 495.14 : x
  2. Step 2: Convert to fraction form
    995.72/1,492.43 = 495.14/x
  3. Step 3: Cross multiply
    995.72x = 1,492.43 × 495.14
  4. Step 4: Simplify right side
    995.72x = 738,951.85
  5. Step 5: Solve for x
    x = 738,951.85/995.72
  6. Step 6: Final answer
    x = 742.13

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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.