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Finding the Fourth Proportional to 1,059.22, 1,589.55 and 669.25

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Solution

The fourth proportional to 1,059.22, 1,589.55 and 669.25 is: 1,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.22 : 1,589.55 = 669.25 : x
  2. Step 2: Convert to fraction form
    1,059.22/1,589.55 = 669.25/x
  3. Step 3: Cross multiply
    1,059.22x = 1,589.55 × 669.25
  4. Step 4: Simplify right side
    1,059.22x = 1,063,806.34
  5. Step 5: Solve for x
    x = 1,063,806.34/1,059.22
  6. Step 6: Final answer
    x = 1,004.33

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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.