Home / 1,601.20-2,209.62-902.56

Finding the Fourth Proportional to 1,601.20, 2,209.62 and 902.56

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Solution

The fourth proportional to 1,601.20, 2,209.62 and 902.56 is: 1,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.20 : 2,209.62 = 902.56 : x
  2. Step 2: Convert to fraction form
    1,601.20/2,209.62 = 902.56/x
  3. Step 3: Cross multiply
    1,601.20x = 2,209.62 × 902.56
  4. Step 4: Simplify right side
    1,601.20x = 1,994,314.63
  5. Step 5: Solve for x
    x = 1,994,314.63/1,601.20
  6. Step 6: Final answer
    x = 1,245.51

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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.