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Finding the Fourth Proportional to 1,600.92, 2,209.02 and 902.28

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Solution

The fourth proportional to 1,600.92, 2,209.02 and 902.28 is: 1,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.92 : 2,209.02 = 902.28 : x
  2. Step 2: Convert to fraction form
    1,600.92/2,209.02 = 902.28/x
  3. Step 3: Cross multiply
    1,600.92x = 2,209.02 × 902.28
  4. Step 4: Simplify right side
    1,600.92x = 1,993,154.57
  5. Step 5: Solve for x
    x = 1,993,154.57/1,600.92
  6. Step 6: Final answer
    x = 1,245.01

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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.