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Finding the Fourth Proportional to 1,610.97, 2,222.96 and 902.76

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Solution

The fourth proportional to 1,610.97, 2,222.96 and 902.76 is: 1,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.97 : 2,222.96 = 902.76 : x
  2. Step 2: Convert to fraction form
    1,610.97/2,222.96 = 902.76/x
  3. Step 3: Cross multiply
    1,610.97x = 2,222.96 × 902.76
  4. Step 4: Simplify right side
    1,610.97x = 2,006,794.86
  5. Step 5: Solve for x
    x = 2,006,794.86/1,610.97
  6. Step 6: Final answer
    x = 1,245.71

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Half scale
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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.