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Finding the Fourth Proportional to 2,288.80, 3,431.92 and 920.48

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Solution

The fourth proportional to 2,288.80, 3,431.92 and 920.48 is: 1,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.80 : 3,431.92 = 920.48 : x
  2. Step 2: Convert to fraction form
    2,288.80/3,431.92 = 920.48/x
  3. Step 3: Cross multiply
    2,288.80x = 3,431.92 × 920.48
  4. Step 4: Simplify right side
    2,288.80x = 3,159,013.72
  5. Step 5: Solve for x
    x = 3,159,013.72/2,288.80
  6. Step 6: Final answer
    x = 1,380.21

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1.5x scale

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.