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Finding the Fourth Proportional to 2,203.70, 3,306.06 and 643.64

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Solution

The fourth proportional to 2,203.70, 3,306.06 and 643.64 is: 965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.70 : 3,306.06 = 643.64 : x
  2. Step 2: Convert to fraction form
    2,203.70/3,306.06 = 643.64/x
  3. Step 3: Cross multiply
    2,203.70x = 3,306.06 × 643.64
  4. Step 4: Simplify right side
    2,203.70x = 2,127,895.93
  5. Step 5: Solve for x
    x = 2,127,895.93/2,203.70
  6. Step 6: Final answer
    x = 965.60

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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.