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Finding the Fourth Proportional to 886.20, 1,328.46 and 789

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Solution

The fourth proportional to 886.20, 1,328.46 and 789 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.20 : 1,328.46 = 789 : x
  2. Step 2: Convert to fraction form
    886.20/1,328.46 = 789/x
  3. Step 3: Cross multiply
    886.20x = 1,328.46 × 789
  4. Step 4: Simplify right side
    886.20x = 1,048,154.94
  5. Step 5: Solve for x
    x = 1,048,154.94/886.20
  6. Step 6: Final answer
    x = 1,182.75

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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.