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Finding the Fourth Proportional to 1,066.01, 1,469.80 and 889.22

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Solution

The fourth proportional to 1,066.01, 1,469.80 and 889.22 is: 1,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.01 : 1,469.80 = 889.22 : x
  2. Step 2: Convert to fraction form
    1,066.01/1,469.80 = 889.22/x
  3. Step 3: Cross multiply
    1,066.01x = 1,469.80 × 889.22
  4. Step 4: Simplify right side
    1,066.01x = 1,306,975.56
  5. Step 5: Solve for x
    x = 1,306,975.56/1,066.01
  6. Step 6: Final answer
    x = 1,226.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.