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Finding the Fourth Proportional to 995.50, 1,492.99 and 378.87

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Solution

The fourth proportional to 995.50, 1,492.99 and 378.87 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.50 : 1,492.99 = 378.87 : x
  2. Step 2: Convert to fraction form
    995.50/1,492.99 = 378.87/x
  3. Step 3: Cross multiply
    995.50x = 1,492.99 × 378.87
  4. Step 4: Simplify right side
    995.50x = 565,652.85
  5. Step 5: Solve for x
    x = 565,652.85/995.50
  6. Step 6: Final answer
    x = 568.21

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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.