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Finding the Fourth Proportional to 1,469.43, 2,205.90 and 1,057.50

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Solution

The fourth proportional to 1,469.43, 2,205.90 and 1,057.50 is: 1,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.43 : 2,205.90 = 1,057.50 : x
  2. Step 2: Convert to fraction form
    1,469.43/2,205.90 = 1,057.50/x
  3. Step 3: Cross multiply
    1,469.43x = 2,205.90 × 1,057.50
  4. Step 4: Simplify right side
    1,469.43x = 2,332,739.25
  5. Step 5: Solve for x
    x = 2,332,739.25/1,469.43
  6. Step 6: Final answer
    x = 1,587.51

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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.