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Finding the Fourth Proportional to 2,203.93, 3,305.02 and 643.40

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Solution

The fourth proportional to 2,203.93, 3,305.02 and 643.40 is: 964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.93 : 3,305.02 = 643.40 : x
  2. Step 2: Convert to fraction form
    2,203.93/3,305.02 = 643.40/x
  3. Step 3: Cross multiply
    2,203.93x = 3,305.02 × 643.40
  4. Step 4: Simplify right side
    2,203.93x = 2,126,449.87
  5. Step 5: Solve for x
    x = 2,126,449.87/2,203.93
  6. Step 6: Final answer
    x = 964.84

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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.