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Finding the Fourth Proportional to 1,415.01, 2,122.73 and 441.21

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Solution

The fourth proportional to 1,415.01, 2,122.73 and 441.21 is: 661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.01 : 2,122.73 = 441.21 : x
  2. Step 2: Convert to fraction form
    1,415.01/2,122.73 = 441.21/x
  3. Step 3: Cross multiply
    1,415.01x = 2,122.73 × 441.21
  4. Step 4: Simplify right side
    1,415.01x = 936,567.50
  5. Step 5: Solve for x
    x = 936,567.50/1,415.01
  6. Step 6: Final answer
    x = 661.88

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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.