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Finding the Fourth Proportional to 861.44, 1,189.86 and 704.48

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Solution

The fourth proportional to 861.44, 1,189.86 and 704.48 is: 973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,189.86 = 704.48 : x
  2. Step 2: Convert to fraction form
    861.44/1,189.86 = 704.48/x
  3. Step 3: Cross multiply
    861.44x = 1,189.86 × 704.48
  4. Step 4: Simplify right side
    861.44x = 838,232.57
  5. Step 5: Solve for x
    x = 838,232.57/861.44
  6. Step 6: Final answer
    x = 973.06

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1.5x scale

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.