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Finding the Fourth Proportional to 1,469.89, 2,205.38 and 907.66

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Solution

The fourth proportional to 1,469.89, 2,205.38 and 907.66 is: 1,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.89 : 2,205.38 = 907.66 : x
  2. Step 2: Convert to fraction form
    1,469.89/2,205.38 = 907.66/x
  3. Step 3: Cross multiply
    1,469.89x = 2,205.38 × 907.66
  4. Step 4: Simplify right side
    1,469.89x = 2,001,735.21
  5. Step 5: Solve for x
    x = 2,001,735.21/1,469.89
  6. Step 6: Final answer
    x = 1,361.83

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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.