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Finding the Fourth Proportional to 789.81, 1,181.93 and 581.09

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Solution

The fourth proportional to 789.81, 1,181.93 and 581.09 is: 869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.81 : 1,181.93 = 581.09 : x
  2. Step 2: Convert to fraction form
    789.81/1,181.93 = 581.09/x
  3. Step 3: Cross multiply
    789.81x = 1,181.93 × 581.09
  4. Step 4: Simplify right side
    789.81x = 686,807.70
  5. Step 5: Solve for x
    x = 686,807.70/789.81
  6. Step 6: Final answer
    x = 869.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.