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Finding the Fourth Proportional to 1,600.77, 2,208.83 and 902.01

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Solution

The fourth proportional to 1,600.77, 2,208.83 and 902.01 is: 1,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.77 : 2,208.83 = 902.01 : x
  2. Step 2: Convert to fraction form
    1,600.77/2,208.83 = 902.01/x
  3. Step 3: Cross multiply
    1,600.77x = 2,208.83 × 902.01
  4. Step 4: Simplify right side
    1,600.77x = 1,992,382.24
  5. Step 5: Solve for x
    x = 1,992,382.24/1,600.77
  6. Step 6: Final answer
    x = 1,244.64

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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.