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Finding the Fourth Proportional to 995.98, 1,492.97 and 379.53

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Solution

The fourth proportional to 995.98, 1,492.97 and 379.53 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.98 : 1,492.97 = 379.53 : x
  2. Step 2: Convert to fraction form
    995.98/1,492.97 = 379.53/x
  3. Step 3: Cross multiply
    995.98x = 1,492.97 × 379.53
  4. Step 4: Simplify right side
    995.98x = 566,626.90
  5. Step 5: Solve for x
    x = 566,626.90/995.98
  6. Step 6: Final answer
    x = 568.91

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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.