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Finding the Fourth Proportional to 2,203.58, 3,305.05 and 643.17

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Solution

The fourth proportional to 2,203.58, 3,305.05 and 643.17 is: 964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.58 : 3,305.05 = 643.17 : x
  2. Step 2: Convert to fraction form
    2,203.58/3,305.05 = 643.17/x
  3. Step 3: Cross multiply
    2,203.58x = 3,305.05 × 643.17
  4. Step 4: Simplify right side
    2,203.58x = 2,125,709.01
  5. Step 5: Solve for x
    x = 2,125,709.01/2,203.58
  6. Step 6: Final answer
    x = 964.66

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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.