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Finding the Fourth Proportional to 2,203.71, 3,305.57 and 904.88

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Solution

The fourth proportional to 2,203.71, 3,305.57 and 904.88 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.71 : 3,305.57 = 904.88 : x
  2. Step 2: Convert to fraction form
    2,203.71/3,305.57 = 904.88/x
  3. Step 3: Cross multiply
    2,203.71x = 3,305.57 × 904.88
  4. Step 4: Simplify right side
    2,203.71x = 2,991,123.13
  5. Step 5: Solve for x
    x = 2,991,123.13/2,203.71
  6. Step 6: Final answer
    x = 1,357.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.