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Finding the Fourth Proportional to 996.38, 1,495.20 and 380.15

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Solution

The fourth proportional to 996.38, 1,495.20 and 380.15 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.38 : 1,495.20 = 380.15 : x
  2. Step 2: Convert to fraction form
    996.38/1,495.20 = 380.15/x
  3. Step 3: Cross multiply
    996.38x = 1,495.20 × 380.15
  4. Step 4: Simplify right side
    996.38x = 568,400.28
  5. Step 5: Solve for x
    x = 568,400.28/996.38
  6. Step 6: Final answer
    x = 570.47

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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.