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Finding the Fourth Proportional to 1,120.67, 1,546.85 and 789.17

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Solution

The fourth proportional to 1,120.67, 1,546.85 and 789.17 is: 1,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.67 : 1,546.85 = 789.17 : x
  2. Step 2: Convert to fraction form
    1,120.67/1,546.85 = 789.17/x
  3. Step 3: Cross multiply
    1,120.67x = 1,546.85 × 789.17
  4. Step 4: Simplify right side
    1,120.67x = 1,220,723.67
  5. Step 5: Solve for x
    x = 1,220,723.67/1,120.67
  6. Step 6: Final answer
    x = 1,089.29

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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.