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Finding the Fourth Proportional to 1,601.12, 2,209.74 and 902.54

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Solution

The fourth proportional to 1,601.12, 2,209.74 and 902.54 is: 1,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.12 : 2,209.74 = 902.54 : x
  2. Step 2: Convert to fraction form
    1,601.12/2,209.74 = 902.54/x
  3. Step 3: Cross multiply
    1,601.12x = 2,209.74 × 902.54
  4. Step 4: Simplify right side
    1,601.12x = 1,994,378.74
  5. Step 5: Solve for x
    x = 1,994,378.74/1,601.12
  6. Step 6: Final answer
    x = 1,245.61

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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.