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Finding the Fourth Proportional to 866.03, 1,299.65 and 789.48

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Solution

The fourth proportional to 866.03, 1,299.65 and 789.48 is: 1,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.03 : 1,299.65 = 789.48 : x
  2. Step 2: Convert to fraction form
    866.03/1,299.65 = 789.48/x
  3. Step 3: Cross multiply
    866.03x = 1,299.65 × 789.48
  4. Step 4: Simplify right side
    866.03x = 1,026,043.73
  5. Step 5: Solve for x
    x = 1,026,043.73/866.03
  6. Step 6: Final answer
    x = 1,184.77

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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.