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Finding the Fourth Proportional to 1,669.25, 2,505.22 and 847.75

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Solution

The fourth proportional to 1,669.25, 2,505.22 and 847.75 is: 1,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.25 : 2,505.22 = 847.75 : x
  2. Step 2: Convert to fraction form
    1,669.25/2,505.22 = 847.75/x
  3. Step 3: Cross multiply
    1,669.25x = 2,505.22 × 847.75
  4. Step 4: Simplify right side
    1,669.25x = 2,123,800.26
  5. Step 5: Solve for x
    x = 2,123,800.26/1,669.25
  6. Step 6: Final answer
    x = 1,272.31

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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.