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Finding the Fourth Proportional to 996.32, 1,494.60 and 380

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Solution

The fourth proportional to 996.32, 1,494.60 and 380 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.32 : 1,494.60 = 380 : x
  2. Step 2: Convert to fraction form
    996.32/1,494.60 = 380/x
  3. Step 3: Cross multiply
    996.32x = 1,494.60 × 380
  4. Step 4: Simplify right side
    996.32x = 567,948
  5. Step 5: Solve for x
    x = 567,948/996.32
  6. Step 6: Final answer
    x = 570.05

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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.