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Finding the Fourth Proportional to 861.37, 1,189.08 and 578.27

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Solution

The fourth proportional to 861.37, 1,189.08 and 578.27 is: 798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.37 : 1,189.08 = 578.27 : x
  2. Step 2: Convert to fraction form
    861.37/1,189.08 = 578.27/x
  3. Step 3: Cross multiply
    861.37x = 1,189.08 × 578.27
  4. Step 4: Simplify right side
    861.37x = 687,609.29
  5. Step 5: Solve for x
    x = 687,609.29/861.37
  6. Step 6: Final answer
    x = 798.28

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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.