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Finding the Fourth Proportional to 1,221.07, 1,832.33 and 452.11

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Solution

The fourth proportional to 1,221.07, 1,832.33 and 452.11 is: 678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.07 : 1,832.33 = 452.11 : x
  2. Step 2: Convert to fraction form
    1,221.07/1,832.33 = 452.11/x
  3. Step 3: Cross multiply
    1,221.07x = 1,832.33 × 452.11
  4. Step 4: Simplify right side
    1,221.07x = 828,414.72
  5. Step 5: Solve for x
    x = 828,414.72/1,221.07
  6. Step 6: Final answer
    x = 678.43

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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.