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Finding the Fourth Proportional to 2,203.09, 3,304.56 and 559.61

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Solution

The fourth proportional to 2,203.09, 3,304.56 and 559.61 is: 839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.09 : 3,304.56 = 559.61 : x
  2. Step 2: Convert to fraction form
    2,203.09/3,304.56 = 559.61/x
  3. Step 3: Cross multiply
    2,203.09x = 3,304.56 × 559.61
  4. Step 4: Simplify right side
    2,203.09x = 1,849,264.82
  5. Step 5: Solve for x
    x = 1,849,264.82/2,203.09
  6. Step 6: Final answer
    x = 839.40

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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.