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Finding the Fourth Proportional to 1,451.23, 2,002.94 and 861.79

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Solution

The fourth proportional to 1,451.23, 2,002.94 and 861.79 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.23 : 2,002.94 = 861.79 : x
  2. Step 2: Convert to fraction form
    1,451.23/2,002.94 = 861.79/x
  3. Step 3: Cross multiply
    1,451.23x = 2,002.94 × 861.79
  4. Step 4: Simplify right side
    1,451.23x = 1,726,109.35
  5. Step 5: Solve for x
    x = 1,726,109.35/1,451.23
  6. Step 6: Final answer
    x = 1,189.42

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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.