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Finding the Fourth Proportional to 1,120.50, 1,542.92 and 969.84

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Solution

The fourth proportional to 1,120.50, 1,542.92 and 969.84 is: 1,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.50 : 1,542.92 = 969.84 : x
  2. Step 2: Convert to fraction form
    1,120.50/1,542.92 = 969.84/x
  3. Step 3: Cross multiply
    1,120.50x = 1,542.92 × 969.84
  4. Step 4: Simplify right side
    1,120.50x = 1,496,380.68
  5. Step 5: Solve for x
    x = 1,496,380.68/1,120.50
  6. Step 6: Final answer
    x = 1,335.46

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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.