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Finding the Fourth Proportional to 1,469.01, 2,202.82 and 852.91

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Solution

The fourth proportional to 1,469.01, 2,202.82 and 852.91 is: 1,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.01 : 2,202.82 = 852.91 : x
  2. Step 2: Convert to fraction form
    1,469.01/2,202.82 = 852.91/x
  3. Step 3: Cross multiply
    1,469.01x = 2,202.82 × 852.91
  4. Step 4: Simplify right side
    1,469.01x = 1,878,799.57
  5. Step 5: Solve for x
    x = 1,878,799.57/1,469.01
  6. Step 6: Final answer
    x = 1,278.96

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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.