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Finding the Fourth Proportional to 861.38, 1,188.26 and 577.82

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Solution

The fourth proportional to 861.38, 1,188.26 and 577.82 is: 797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.38 : 1,188.26 = 577.82 : x
  2. Step 2: Convert to fraction form
    861.38/1,188.26 = 577.82/x
  3. Step 3: Cross multiply
    861.38x = 1,188.26 × 577.82
  4. Step 4: Simplify right side
    861.38x = 686,591.56
  5. Step 5: Solve for x
    x = 686,591.56/861.38
  6. Step 6: Final answer
    x = 797.09

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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.