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Finding the Fourth Proportional to 1,419.92, 2,129.76 and 446

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Solution

The fourth proportional to 1,419.92, 2,129.76 and 446 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.92 : 2,129.76 = 446 : x
  2. Step 2: Convert to fraction form
    1,419.92/2,129.76 = 446/x
  3. Step 3: Cross multiply
    1,419.92x = 2,129.76 × 446
  4. Step 4: Simplify right side
    1,419.92x = 949,872.96
  5. Step 5: Solve for x
    x = 949,872.96/1,419.92
  6. Step 6: Final answer
    x = 668.96

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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.