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Finding the Fourth Proportional to 861.90, 1,190.09 and 662.41

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Solution

The fourth proportional to 861.90, 1,190.09 and 662.41 is: 914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.90 : 1,190.09 = 662.41 : x
  2. Step 2: Convert to fraction form
    861.90/1,190.09 = 662.41/x
  3. Step 3: Cross multiply
    861.90x = 1,190.09 × 662.41
  4. Step 4: Simplify right side
    861.90x = 788,324.20
  5. Step 5: Solve for x
    x = 788,324.20/861.90
  6. Step 6: Final answer
    x = 914.64

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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.