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Finding the Fourth Proportional to 861.55, 1,190.33 and 600.73

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Solution

The fourth proportional to 861.55, 1,190.33 and 600.73 is: 829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.55 : 1,190.33 = 600.73 : x
  2. Step 2: Convert to fraction form
    861.55/1,190.33 = 600.73/x
  3. Step 3: Cross multiply
    861.55x = 1,190.33 × 600.73
  4. Step 4: Simplify right side
    861.55x = 715,063.21
  5. Step 5: Solve for x
    x = 715,063.21/861.55
  6. Step 6: Final answer
    x = 829.98

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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.