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Finding the Fourth Proportional to 1,450.87, 2,174.34 and 659.24

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Solution

The fourth proportional to 1,450.87, 2,174.34 and 659.24 is: 987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.87 : 2,174.34 = 659.24 : x
  2. Step 2: Convert to fraction form
    1,450.87/2,174.34 = 659.24/x
  3. Step 3: Cross multiply
    1,450.87x = 2,174.34 × 659.24
  4. Step 4: Simplify right side
    1,450.87x = 1,433,414.87
  5. Step 5: Solve for x
    x = 1,433,414.87/1,450.87
  6. Step 6: Final answer
    x = 987.97

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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.