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Finding the Fourth Proportional to 789.05, 1,181.13 and 592.97

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Solution

The fourth proportional to 789.05, 1,181.13 and 592.97 is: 887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,181.13 = 592.97 : x
  2. Step 2: Convert to fraction form
    789.05/1,181.13 = 592.97/x
  3. Step 3: Cross multiply
    789.05x = 1,181.13 × 592.97
  4. Step 4: Simplify right side
    789.05x = 700,374.66
  5. Step 5: Solve for x
    x = 700,374.66/789.05
  6. Step 6: Final answer
    x = 887.62

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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.