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Finding the Fourth Proportional to 1,613.32, 2,419.98 and 996.28

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Solution

The fourth proportional to 1,613.32, 2,419.98 and 996.28 is: 1,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.32 : 2,419.98 = 996.28 : x
  2. Step 2: Convert to fraction form
    1,613.32/2,419.98 = 996.28/x
  3. Step 3: Cross multiply
    1,613.32x = 2,419.98 × 996.28
  4. Step 4: Simplify right side
    1,613.32x = 2,410,977.67
  5. Step 5: Solve for x
    x = 2,410,977.67/1,613.32
  6. Step 6: Final answer
    x = 1,494.42

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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.