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Finding the Fourth Proportional to 1,221.20, 1,830.48 and 451.64

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Solution

The fourth proportional to 1,221.20, 1,830.48 and 451.64 is: 676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.20 : 1,830.48 = 451.64 : x
  2. Step 2: Convert to fraction form
    1,221.20/1,830.48 = 451.64/x
  3. Step 3: Cross multiply
    1,221.20x = 1,830.48 × 451.64
  4. Step 4: Simplify right side
    1,221.20x = 826,717.99
  5. Step 5: Solve for x
    x = 826,717.99/1,221.20
  6. Step 6: Final answer
    x = 676.97

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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.