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Finding the Fourth Proportional to 1,409.72, 2,113.81 and 422.39

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Solution

The fourth proportional to 1,409.72, 2,113.81 and 422.39 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.72 : 2,113.81 = 422.39 : x
  2. Step 2: Convert to fraction form
    1,409.72/2,113.81 = 422.39/x
  3. Step 3: Cross multiply
    1,409.72x = 2,113.81 × 422.39
  4. Step 4: Simplify right side
    1,409.72x = 892,861.19
  5. Step 5: Solve for x
    x = 892,861.19/1,409.72
  6. Step 6: Final answer
    x = 633.36

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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.