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Finding the Fourth Proportional to 1,600.80, 2,209.07 and 902.18

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Solution

The fourth proportional to 1,600.80, 2,209.07 and 902.18 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.80 : 2,209.07 = 902.18 : x
  2. Step 2: Convert to fraction form
    1,600.80/2,209.07 = 902.18/x
  3. Step 3: Cross multiply
    1,600.80x = 2,209.07 × 902.18
  4. Step 4: Simplify right side
    1,600.80x = 1,992,963.22
  5. Step 5: Solve for x
    x = 1,992,963.22/1,600.80
  6. Step 6: Final answer
    x = 1,244.98

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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.