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Finding the Fourth Proportional to 995.05, 1,492.79 and 378.77

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Solution

The fourth proportional to 995.05, 1,492.79 and 378.77 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.05 : 1,492.79 = 378.77 : x
  2. Step 2: Convert to fraction form
    995.05/1,492.79 = 378.77/x
  3. Step 3: Cross multiply
    995.05x = 1,492.79 × 378.77
  4. Step 4: Simplify right side
    995.05x = 565,414.71
  5. Step 5: Solve for x
    x = 565,414.71/995.05
  6. Step 6: Final answer
    x = 568.23

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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.