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Finding the Fourth Proportional to 996.10, 1,494.15 and 380.09

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Solution

The fourth proportional to 996.10, 1,494.15 and 380.09 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.10 : 1,494.15 = 380.09 : x
  2. Step 2: Convert to fraction form
    996.10/1,494.15 = 380.09/x
  3. Step 3: Cross multiply
    996.10x = 1,494.15 × 380.09
  4. Step 4: Simplify right side
    996.10x = 567,913.78
  5. Step 5: Solve for x
    x = 567,913.78/996.10
  6. Step 6: Final answer
    x = 570.14

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Double scale
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Similar ratio
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1.5x scale

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.