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Finding the Fourth Proportional to 1,450.72, 2,002.26 and 861.58

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Solution

The fourth proportional to 1,450.72, 2,002.26 and 861.58 is: 1,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.72 : 2,002.26 = 861.58 : x
  2. Step 2: Convert to fraction form
    1,450.72/2,002.26 = 861.58/x
  3. Step 3: Cross multiply
    1,450.72x = 2,002.26 × 861.58
  4. Step 4: Simplify right side
    1,450.72x = 1,725,107.17
  5. Step 5: Solve for x
    x = 1,725,107.17/1,450.72
  6. Step 6: Final answer
    x = 1,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.